Curriculum Vitae Academico

de

IRENEO PERAL ALONSO

Tramos de investigacion reconocidos= 6Fecha de actualizacion: 28/08/2020

Research Impact:MR Citation Database: Date, August 28, 2020.Author Citations:Ireneo Peral Alonso cited 3686 times by 1665 authors in the MR Citation Database.Article most cited: 358 citations.

H-factor ≥ 30 Averagecitations

paper> 25

ORCID: 0000-0003-2297-9910

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Apellidos: PERAL ALONSO.Nombre : IRENEO Sexo:Varon Estado civil: Casado (dos hijas)N.I.F.: 7762913 E. Fecha nacimiento: 16-09-1946 N. Funcionario :A01-EC-2973Domicilio Particular: c/ Federico Carlos Sainz de Robles No. 9, 2 GCiudad: MADRID Distrito Postal: 28035 Telefono: 913166950Especializacion (Codigo UNESCO): 120220——————————————————————————-Formacion AcademicaLicenciatura Centro : Fecha :————————————————————————————-Matematicas Univ. Complutense (Madrid) 1970

Doctorado:————————————————————————————Matematicas Univ. Complutense (Madrid) 1974

Director de Tesis: Miguel de Guzman————————————————————————————-Organismo: UNIVERSIDAD AUTONOMA DE MADRIDFacultad: CIENCIASDepartamento: MATEMATICASCategorıa Profesional y Fecha de Inicio : Catedratico de Universidad, 1984Direccion Postal: Depto. Matematicas, Univ. Autonoma de Madrid,Cantoblanco, 28049 MADRID.Telefono: 397-4204 Telefax: 397-4889 Email: ireneo.peraluam.esPlantilla Dedicacion a tiempo completo:————————————————————————————————————–

Actividades anteriores de caracter cientıfico o profesionalFechas................. Puesto..............................Institucion————————————————————————————–1965-1966.....................Estudiante.......................................... Univ. Salamanca1966-1970.....................Estudiante.......................................... Univ. Complutense1970-1974.....................Becario Predoctoral............................ Univ. Complutense1974-1976.....................Prof. Titular Interino.......................... Univ. Complutense1976-1977.....................Prof. Agregado Numerario.................. Univ. Pais Vasco1977-1983.....................Prof. Agregado Numerario.................. U.A.M.1983-2017.....................Catedratico.......................................... U.A.M.2017-............................Catedratico Emerito............................ U.A.M.————————————————————————————————————–

Idiomas de interes cientıfico(R=regular, B=bien, C=correctamenteIdioma.........Habla.....Lee.....EscribeFrances................. B........B.........BIngles.................... B........B.........BItaliano................. B........B.........B——————————————————————————————————-

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Participacion en Proyectos de Investigacion financiados————————————————————————-Tıtulo: Analisis de Fourier y E.D.P.Entidad Financiadora: C.A.I.C.Y.TDuracion: 1980 - 1983Investigador Principal: A.Cordoba————————————————————————-————————————————————————-Tıtulo: Analisis Armonico y E.D.P.Entidad Financiadora: C.A.I.C.Y.TDuracion: 1983 - 1986Investigador Principal: J.L.Rubio————————————————————————-————————————————————————-Tıtulo: Teorıa Cualitativa de Ecuaciones en Derivadas Parciales no linealesEntidad Financiadora: D.G.I.C.Y.T. ( PB86-0112-C02-00)Duracion: 1986-1990Investigador Principal: J.L.Vazquez————————————————————————-————————————————————————-Tıtulo: Ecuaciones en Derivadas Parciales no linealesEntidad Financiadora: D.G.I.C.Y.T. ( PB90-0218)Duracion: 1990-1993Investigador Principal: J.L.Vazquez————————————————————————-————————————————————————-Tıtulo: Filtration and nonlinear Diffusion ProcessesEntidad Financiadora: C.E.E. Stimulation Program(Contract SC1-0019-C(TT)).Duracion: 1988-1991Investigador Principal: J.L. Vazquez————————————————————————-————————————————————————-Tıtulo: Estados Estacionarios y Ecuaciones Parabolicas no Lineales.Problemas Elıpticos. Aplicaciones.Entidad Financiadora: D.G.I.C.Y.T. ( PB94-0187)Duracion: 1995-1998Investigador Principal: I. Peral————————————————————————-Tıtulo: Problemas estacionarios y de evolucion en modelos no lineales dereaccion-difusion. AplicacionesEntidad Financiadora: D.G.E.S. (PB97-0052)Duracion: 1997-2000Investigador Espanol Principal: I. Peral————————————————————————-————————————————————————-Tıtulo: Analisis no lineal y ecuaciones en derivadas parciales no linealesEntidad Financiadora: D.G.E.S. (HI1997-0049)Duracion: 1998-1999

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Investigador Espanol Principal: I. Peral————————————————————————-————————————————————————-Tıtulo: Ecuaciones en derivadas parciales no linealesEntidad Financiadora: D.G.E.S. (HI1999-0016)Duracion: 2000-2001Investigador Espanol Principal: I. Peral————————————————————————-————————————————————————-Tıtulo: Catedra BBV Profesor A. Ambrosetti (Scuola Normale Superiode di Pisa)Entidad Financiadora: Fundacion Catedra Banco Bilbao VizcayaDuracion: Mayo 1998Investigador espanol responsable: I. Peral————————————————————————-————————————————————————-Tıtulo: Premio Profesores Visitantes Iberdrola Ciencia y Tecnologıa 2000Entidad Financiadora: IberdrolaDuracion: Octubre 2000- Septiembre 2003Investigador espanol responsable: I. Peral————————————————————————-————————————————————————-Tıtulo: Problemas de evolucion no lineales y susestados estacionarios. Aplicaciones.Entidad Financiadora: MCYT (BFM2001-0183)Duracion: 2001- 2004Investigador espanol responsable: I. Peral————————————————————————-————————————————————————-Tıtulo: Problemas crıticos en ecuaciones de evolucion y sus estadosestacionarios. Aplicaciones.Entidad Financiadora: MEC (MTM2004-02223)Duracion: 2005- 2007Investigador espanol responsable: I. Peral————————————————————————-Tıtulo: Problemas de difusion no lineales y sus estados estacionarios. Aplicaciones.Entidad Financiadora: Banco de Santander Central Hispano-CEAL-UAMCooperacion con Universidades de Argentina, Brasil, Chile y Uruguay.Duracion: 2006- 2008Investigador espanol responsable: I. Peral————————————————————————-

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————————————————————————-Tıtulo: Nuevas Fronteras de las Ecuaciones Elıpticas y Parabolicas No Lineales. AplicacionesEntidad Financiadora: Comunidad de Madrid-UAM (CCG06-UAM/ESP-0340)Duracion: 2007Investigador espanol responsable: I. Peral————————————————————————-Tıtulo:RED TEMATICA DE ECUACIONES ELIPTICAS Y PARABOLICAS NO LINEALESMEC (MTM2005-24578-E)Duracion: 2006- 2008Investigador espanol responsable: I. Peral————————————————————————-Tıtulo: Problemas de Difusion Crıticos y sus Estados Estacionarios. AplicacionesEntidad Financiadora: MEC, Accion Integrada Hispano-Italiana (HI2006-0038)Duracion: 2007- 2008Investigador italiano responsable: V. FeroneInvestigador espanol responsable: I. Peral————————————————————————-Tıtulo: Problemas Elıpticos y Parabolicos con Comportamiento Crıtico: AplicacionesEntidad Financiadora: AECI-MAE A/8174/07Duracion: 2008-2010Investigador argelino responsable: B. AbdellaouiInvestigador espanol responsable: I. Peral————————————————————————-Tıtulo: Crecimiento, Difusion y Transporte Optimo: Problemas Lımite en Ecuaciones Elıpticasy Parabolicas no Lineales.Entidad Financiadora: MEC (MTM2007-65018)Duracion: 2007- 2010Investigador espanol responsable: I. Peral————————————————————————-Tıtulo: CAP-EXCEL- Excellence in Complex Analysis and PDE mobilityEntidad Financiadora: 156375-IT-2009-USAEIM EU-US ATLANTIS ProgrammeCooperation in Higher Education and Vocational Training. Excellence Mobility ProjectDuracion: 2009-2014Investigador espanol responsable: I. Peral————————————————————————-Tıtulo: Estudio de problemas no lineales relacionados con fenomenos de difusion,crecimiento y propagacionEntidad Financiadora: MICINN (MTM2010-18128)Duracion: 2011-2013Investigador responsable: I. Peral————————————————————————-Tıtulo: Estudio de problemas elipticos y parabolicos locales y no locales: modelos dedifusion-reaccion y crecimiento.Entidad Financiadora: MINECO (MTM2013–40846-P)Duracion: 2014-2016Investigador responsable 1: I. PeralInvestigador responsable 2: F. Soria————————————————————————-

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Otros Proyectos de Investigacion.- 1982,1983 y 1984 Responsable cientıfico espanol en Accion Integrada con la Ecole Polytechnique a

Paris.

- 1987 Responsable cientıfico espanol de Accion Integrada con C.E.R.E.M.A.D.E.U. Paris IX.

Tramos de investigacion reconocidos= 6

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Publicaciones

Artıculos

1. I. Peral, Derivation de integrales respecto de bases de estrellados no acotados, Rev. Real Academiade Ciencias Madrid ,Tomo LXX 2 (1976),pg.273-296. (A)

2. I.Peral, A general result on the equivalence between derivation of integrals and weak inequalities forthe Hardy-Littlewood operator, Studia Math. Vol.60(1977) pg 91-96. (A)

3. I.Peral, A condition of Busemann-Feller type for the derivation of integrals of functions in the classφ(L), Collec. Math Vol.18, No. 2 (1977) pg.95-100. (A)

4. I. Peral, Remarques sur le probleme de Cauchy pour le equation des ondes , Seminaire Goulaouic-Meyer-Schwartz 1980-1981, Expose 7 Ecole Polytechnique a Paris (France). (A)

5. I. Peral-J.C. Peral-M.Walias, Lp estimates for hyperbolic operators. Applications to utt−4u = uk,Ann. de Faculte Sciences de Toulouse Tome 4 No. 102 5 (1982) pg.143-152. (A)

6. J.Aguirre-I. Peral, On periodic solution for equations related to wave equations, Contributions toNonlinear P.D.E. Editores C. Bardos et a. Editorial Pitman Research Notes in Mathematics N. 89(1983) pg.1-6. (L)

7. I.Peral, Some remarks on wave equations in Rn. Contributions to Nonlinear P.D.E. Editores P.L.Lions et a. Editorial Pitman, Research Notes in Mathematics No. 155 (1986) pg.193-209. (L)

8. J. Garcia Azorero- I. Peral, Existence and nonuniqueness for the p-laplacian: Nonlinear eigenvalues,Communications in Partial Differential Equations Vol 12, No. 12 (1987) pg.1389-1430. (A)

9. J. Garcia Azorero-I. Peral, Comportement asymtotique des valeurs propes du p-laplacien. ComptesRen. Acad. Sciences de Paris t.307, Serie I.(1988) pg.75-78. (A)

10. J. Garcia Azorero-I. Peral, Problemas elıpticos no lineales con exponentes criticos:falta de compa-cidad. Volumen de Homenaje a A.Dou Universidad Complutense de Madrid (1988) pg 139-148.(L)

11. J.Garcia Azorero-I. Peral, Multiplicity of solutions for elliptic problems with critical exponents orwith a non-symmetric term. Transactions American Mathematical Society Vol 323 No. 2 (1991)paginas, 877-895. (A)

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12. J. Garcia Azorero-I. Peral, On an Emden-Fowler type equations. Nonlinear Analysis T.M.A. Volume18 No. 11 (1992) pg 1085-1097. (A)

13. J. Garcia Azorero-I. Peral, On limits of nearly critical exponents. Commun. in P.D.E. Volume 17No. 11&12 (1992) pg 2113-2126. (A)

14. J. Garcia Azorero-I. Peral-J.P. Puel, Quasilinear problems with exponential growth in the reactionterm. Nonlinear Analysis T.M.A. Vol. 22 No. 4 (1994), pg 481-498. (A)

15. J.Garcia Azorero-I. Peral, On the existence of a second positive solution for a quasilinear ellipticproblem involving the critical Sovolev exponent. Indiana University Math. Jou, Vol 43 No. 3 (1994)pg 941-957. (A)

16. J.A. Aguilar-I. Peral, An a priori estimate for the N- Laplacian. CRAS de Paris, t 319, No 2, SerieI (1994) pg 161-166 (A).

17. L. Boccardo-M. Escobedo-I.Peral, A remark on Elliptic Problems involving critical exponent. Non-linear Analysis T.M.A., Vol 24, No. 11 (1995) pg 1639-1648. (A)

18. I. Peral-J.L. Vazquez, On the Stability or Instability of the Singular Solution of the Semilinear HeatEquation with Exponential Reaction Term. Arch. Rational Mech. Anal. Vol. 129 No. 3 (1995) pg201-224. (A)

19. F. Bernis-J. Garcia Azorero-I. Peral, Existence and Multiplicity of Nontrivial Solutions in CriticalProblems of Fourth Order. Advances in Differential Equations Vol. 1 No. 2 (1996) pg. 219-240. (A)

20. J.A. Aguilar-I. Peral, On an elliptic equation with exponential growth. Rend. Sem. Mat. Univ.Padova Vol. 96 (1996) pg. 143-175. (A)

21. A. Ambrosetti-J. Garcia Azorero- I.Peral, Multiplicity of solutions for some nonlinear elliptic pro-blems J. Funct. Anal. Vol. 137 (1996) pg. 219-242. (A)

22. L. Boccardo-I. Peral-J.L. Vazquez, The N-Laplacian elliptic equation. Variational versus entropysolutions Journal of Mathematical Analysis and Applications, Vol. 201 (1996) pg. 671-688. (A)

23. A. Ambrosetti-J. Garcia Azorero- I.Peral, Quasilinear Equations with a Multiple Bifurcation Diff.and Integral Equations, Vol. 10 No. 1 (1997) pg 37-50. (A)

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24. J.A. Aguilar-I. Peral, Blow-up behavior for solutions of −∆Nu = V (x)eu in bounded domains inRN. Nonlinear Analysis T.M.A. Vol. 29 No. 4 (1997) pg. 365-384. (A)

25. I. Peral-R. Van der Vorst, On Some Quasilinear System. Rocky Mountain Journal of Mathematics,Vol. 27, No. 3 (1997) pg. 913-927 . (A)

26. L. A. Caffarelli - I. Peral, On W 1,p estimates for elliptic equations Commu. in Pure Appl. MathVol. LI (1998) pg. 1-21. (A)

27. J. Garcia Azorero - I. Peral, Hardy Inequalities and some Critical Elliptic and Parabolic problemsJou. Diff. Equations Vol. 144 No. 2 (1998) pg 441-476. (A)

28. J.A. Aguilar -I. Peral, Positive Radial Solutions of Quasilinear Equations Involving SupercriticalGrowth NoDEA Vol. 5 No. 3 (1998) 309-331. (A)

29. I. Peral Some results on Quasilinear Elliptic Equations: Growth versus Shape Proceedings of theSecond School of Nonlinear Functional Analysis and Applications to Differential Equations I.C.T.P.Trieste, Italy, A. Ambrosetti and it alter editors. World Scientific, 1998. (L)

30. A. Ambrosetti- J. Garcıa-I. Peral, Perturbation of ∆u + u(N+2)/(N−2) = 0, the scalar curvatureproblem in RN and related topics, Jou. Funct. Anal. Vol. 165 No. 1 (1999), 117-149. (A)

31. J. Garcıa Azorero- E. Montefusco- I. Peral Bifurcarion in elliptic problem in the whole RN , Advancesin Diff Equations Vol. 5 No. 4-6 (2000), 435-464. (A)

32. J.A. Aguilar-I. Peral Global behaviour of the Cauchy Problem for some Critical Nonlinear ParabolicEquations, SIAM Journal in Mathematical Analysis, Vol. 31 No. 6 (2000), 1270-1294. (A)

33. J. Garcıa Azorero-J.J. Manfredi-I. Peral Sobolev versus Holder Minimizers with Applications toQuasilinear Elliptic Equations, Communications in Contemporary Mathematics, Vol. 2 No. 3 (2000)385-404. (A)

34. M. Badiale-J. Garcıa Azorero-I. Peral Perturbation Results for an Anisotropic Schrodinger Equationvia a Variational Method, NoDEA (Nonlinear differ. equ. appl.) Vol. 7 (2000) 201-230. (A)

35. A. Ambrosetti- J. Garcıa-I. Peral, Elliptic variational problems in RN with critical growth, J. Diff.Equations Vol. 168, No. 1 (2000) 10-32. (A)

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36. I. Peral Quasilinear Elliptic Problems in RN , Proceedings of Equadiff 99 Berlin Edited by B.Fiedler, K. Groger and J. Sprekels Vol. 1 pg 514-516, World Scientific, Singapore, 2000.

37. A. Ambrosetti- J. Garcıa-I. Peral, Existence and Multiplicity Results for Some Nonlinear EllipticEquations: A Survey, Rendiconti di Matematica Univ. Roma, Seria VII Vol. 20 (Number in Honorto G. Fichera) (2000) pg 167-198. (A)

38. D. Arcoya-J.L. Gamez-L. Orsina-I. Peral Reverse Pohozaev inequality: Critical and supercriticalproblems revisited, Comm. in Applied Anal. Vol. 5 No. 4 (2001), pg. 557-569.(A)

39. A. Ambrosetti- J. Garcıa-I. Peral, Remarks on a class of Semilinear Elliptic equations on Rn, viaperturbation Methods Adv. Nonlinear Studies Vol. 1 (2001), pg. 1-15.

40. C. Gutierrez- I. Peral,A real analysis theorem and applications to homogenization, Indiana Univ.Math. Jou. Vol. 50 No. 4 (2001), pg. 1651-1674.

41. B. Abdellaoui- I. Peral Some results for semilinear elliptic equations with critical potential, Proc.of the Royal Soc. of Edinburgh, Vol. 132A (2002), pg. 1-24.

42. I. Peral- F. Soria, A Note on Estimates for Quasilinear Parabolic Equations in 2001-Luminy confe-rence on Quasilinear Elliptic and Parabolic Eq. and Systems, Electron. J. Diff. Eqns, Vol. 8 (2002),pg. 121-131.

43. J. Garcıa Azorero-I. Peral, Some remarks on bifurcation : Differential Integral Equations, Vol. 16(2003), pg. 281-302.

44. E. Colorado-I.Peral, Semilinear elliptic problems with mixed Dirichlet-Neumann boundary condi-tions, Journal of Functional Analysis Vol. 199 No. 2 (2003), pg. 468- 507.

45. B. Abdellaoui- I. Peral, Existence and nonexistence results for quasilinear elliptic equations involvingthe p-Laplacian with a critical potential, Annali di Matematica Pura e Applicata, Vol 182, No 3(2003), pg. 247-270.

46. B. Abdellaoui- I. Peral, Nonexistence results for quasilinear elliptic equations related to Caffarelli-Kohn-Nirenberg inequalities, Communications in Pure and Applied Analysis, Vol. 2 No. 4 (2003),pg. 539-566.

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47. J. Garcıa Azorero-C. Gutierrez-I.Peral, Homogenization of Quasilinear Parabolic Equationsa in Pe-riodic Media, Communications in Partial Differential Equations, Vol. 28 No. 11&12 (2003), pg.1887-1910.

48. B. Abdellaoui-E. Colorado-I. Peral, Existence and nonexistence results for a class of linear andsemilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities, Journal ofthe European Mathematical Society, Vol. 6 (2004), pg. 119-148

49. B. Abdellaoui- V. Felli-I.Peral, Existence and multiplicity for perturbations of an equation involvingHardy inequality and critical Sobolev exponent in the whole RN , Advances in Differential Equations,Vol. 9 No. 5-6 (2004), pg. 481-508.

50. J. Garcıa Azorero-I. Peral-J. Rossi, A convex-concave problem with a nonlinear boundary condition,Journal of Differential Equations, Vol. 198 (2004), pg. 91-128.

51. B. Abdellaoui- I. Peral, Holder continuity and Harnack inequality for quasilinear parabolic equationswith weights Nonlinear Analysis, Vol. 57 No. 7-8 (2004), pg. 971-1003.

52. E. Colorado, I. Peral, Eigenvalues and Bifurcation for Elliptic Equations related to Caffarelli-Kohn-Nirenberg Inequalities, with Mixed Dirichlet-Neumann Boundary Conditions, Topological Methodsin Nonlinear Analysis, Vol. 23 (2004), pg. 239-273.

53. B. Abdellaoui-E. Colorado-I. Peral, Some remarks on elliptic equations with singular potentials andmixed boundary conditions Advanced Nonlinear Studies Vol 4 (A Volume Dedicated to A. Ambrosettion occasion of his 60 birthday) (2004) pp 501-531.

54. B. Abdellaoui-E. Colorado-I. Peral, Some improved Caffarelli-Kohn-Nirenberg inequalities Calculusof Variations and PDE, Vol 23, (2005), pg 327-345.

55. A. Dall’Aglio, D. Giachetti, I.Peral, Results on Parabolic Equations Related to Some Caffarelli-Kohn-Nirenberg Inequalities, SIAM in Mathematical Analysis, Vol 36, no 3 (2005), pp. 691-716.

56. B. Abdellaoui- V. Felli-I.Peral, Perturbed elliptic equations of Caffarelli-Kohn-Nirenberg type, Re-vista Univ. Complutense Madrid, Vol 18, No 2 (2005) 339-351.

57. E. Colorado-I. Peral, Elliptic equations with singular potential Proceedings Equadiff Hasselt 2003Editors F. Dumortier et alter, pg 540-545, World Scientific, 2005.

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58. A. Mercaldo-I. Peral, Existence results for a class of non-uniformly elliptic equations, Le Mathema-tiche, Vol 60 (2005), pg 289-298.

59. B. Abdellaoui- I. Peral, Competition reaction-absortion in some elliptic and parabolic problemsrelated to the Caffarelli-Kohn-Nirenberg Inequalities, Journal of Mathematical Analysis and Appli-cations, Vol. 314, No 2, (2006) 590-617 .

60. B. Abdellaoui- A. Dall’Aglio-I.Peral, Some Remarks on Elliptic Problems with Critical Growth inthe Gradient, J. Diff. Equations, Vol 222, No 1 (2006) 21-62.

61. B. Abdellaoui-E. Colorado-I. Peral, Existence and non-existence results for a class of parabolicequations with mixed boundary conditions, Commun. Pure Appl. Anal. Vol 5, No 1 (2006) 29-54.

62. J. Garcıa Azorero-J. Manfredi-I. Peral-J. Rossi, Steklov eigenvalues for the ∞-Laplacian, Rend.Lincei Mat. Appl. Vol. 17 (2006), 199-210

63. B. Abdellaoui-I. Peral, A note on a critical problem with natural growth in the gradient, J. Eur.Math. Soc. Vol. 8, (2006), 157-170.

64. B. Abdellaoui- V. Felli-I.Peral, Existence and nonexistence results for quasilinear elliptic equationsinvolving the p-laplacian, Boletino U.M.I. (8) 9-B (2006), 445-484.

65. B. Abdellaoui-E. Colorado-I. Peral, Effect of the boundary conditions in the behavior of the optimalconstant of some Caffarelli-Kohn-Nirenberg inequalities: Applications to critical nonlinear ellipticproblems. Advances on Differential Equations 11(2006), no 6, 667-720.

66. L. Boccardo-L. Orsina-I. Peral, A remark on existence and optimal summability of solutions ofelliptic problems involving Hardy potential, Discrete and Continuous Dynamical System 16(2006)no 3, 513-523.

67. J. Garcıa Azorero-J. Manfredi-I. Peral-J. Rossi, The Neumann problem for the ∞-Laplacian andthe Monge-Kantorovich mass transfer problem, Nonlinear Analysis, 66, (2007), no 2, 349-366.

68. B. Abdellaoui-E. Colorado-I. Peral, Some critical quasilinear elliptic problems with mixed Dirichlet-Neumann boundary conditions: relation with Sobolev and Hardy-Sobolev optimal constants, Journalof Mathematical Analysis and Applications, 332, (2007), no 2, 1165-1188

69. J. Garcıa Azorero-I. Peral- A. Primo, A borderline case in elliptic problems involving weights ofCaffarelli-Kohn-Nirenberg type, Nonlinear Analysis TMA, 67, (2007), no 6, 1878-1894.

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70. B. Abdellaoui-I. Peral, The equation −∆u − λu

|x|2= |∇u|p + cf(x): The Optimal Power, Ann.

Scuola Norm. Sup. Pisa Cl. Sci. (5) Vol. VI (2007),159-183.

71. B. Abdellaoui-I. Peral-A. Primo, Some elliptic problems with Hardy potential and critical growth inthe gradient: non-resonance and blow-up results, J. Diff. Equations, 239 (2007), 2, pp 386-416.

72. B. Abdellaoui-L. Boccardo-I. Peral-A. Primo, Quasilinear elliptic equations with natural growth,Differential and Integral Equations, 20, (2007), 9, 1005-1020.

73. F. Charro-I. Peral, Limit branch of solutions as p → ∞ for a family of sub-diffusive reactionproblems related to the p-laplacian. Comm. in PDE. 32 (2007), 12, 1965-1981.

74. B. Abdellaoui- I. Peral, The effect of Harnack inequality on the existence and nonexistence resultsfor quasi-linear parabolic equations related to Caffarelli-Kohn-Nirenberg inequalities, Nonlinear dif-fer.equ. appl. (NoDEA), 14, (2007), 335-360.

75. D.G. De Figueiredo-I. Peral-J. Rossi, The critical hyperbola for a Hamiltonian elliptic system withweights, Annali di Matematica pura ed Applicata, 187, (2008), 531-545.

76. A. Mercaldo-I. Peral, Existence results for semilinear elliptic equations without coercivity, Procee-dings of Royal Society of Edinburgh 138A (2008), 569-595.

77. J. Garcıa Azorero-J. Manfredi-I. Peral-J. Rossi, Limits for Monge-Kantorovich mass transport pro-blems. Communications in Pure and Applied Analysis, 7 (2008), no 4, 853-865.

78. A. Dall’Aglio, D. Giachetti, I. Peral, S. Segura de Leon, Global existence for some slightly super-linear parabolic equations with measure data, J. Math. Anal. Appl. 345 (2008), 892-902.

79. J. Garcıa Azorero-J. Manfredi-I. Peral-J. Rossi, Neumann boundary conditions for the infinity La-placian and the Monge-Kantorovich mass transport problem, Bol. Soc. Esp. Mat. Apl. 43 (2008),7-28.

80. B. Abdellaoui- A. Dall’Aglio-I.Peral, Regularity and nonuniqueness results for parabolic problemsarising in some physical models, having natural growth in the gradient. J. Math. Pures Appl. 90(2008) 242-269

81. B. Abdellaoui-I. Peral-A. Primo, Breaking of resonance and regularizing effect of a first order quasi-linear term in some elliptic equations, Ann. I. H. Poincare - AN 25, (2008) 969-985

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82. B. Abdellaoui- V. Felli-I.Peral, On some elliptic systems doubly critical, Calc. Var. and PDE 34,(2009) 97-137.

83. F. Charro, I. Peral, Zero Order Perturbations to Fully Nonlinear equations: Comparison, existenceand uniqueness, Communications in Contemporary Mathematics 11 (2009) 1, 131-164.

84. J. Garcıa Azorero-J. Manfredi-I. Peral-J. Rossi, The limit as p→∞ for the p−Laplacian with mixedboundary conditions and the mass transport problem through a given window, Rend. Lincei Mat.Appl. 20 (2009), 111-126.

85. F. Charro- E. Colorado- I. Peral, Multiplicity of solutions to Fully Nonlinear equations with concave-convex right hand side, J. Differential Equations, 246 (2009), 4221-4248.

86. B. Abdellaoui-I. Peral-A. Primo, Influence of the Hardy potential in a semilinear heat equation,Proceedings of the Royal Society of Edinburgh, Section A Mathematics, Volume 139, (2009), 5,897-926.

87. B. Abdellaoui-I. Peral-A. Primo, Strong regularizing effect of a gradient term in the heat equationwith the Hardy potential, Journal of Functional Analysis 258 (2010) 1247-1272.

88. J. Garcıa-Azorero, A. Malchiodi, L. Montoro and I. Peral, Concentration of solutions for somesingularly perturbed mixed problems: existence results. Arch. Rational Mech. Anal. 196 (2010) 907-950.

89. J. Garcıa-Azorero, A. Malchiodi, L. Montoro and I. Peral, Concentration of solutions for some sin-gularly perturbed mixed problems: asymptotics of minimal energy solutions. Ann. Inst. H. PoincareAnal. Non Lineaire 27 (2010), no. 1, 37–56

90. B. Abdellaoui-I. Peral-A. Primo, Optimal results for parabolic problems arising in some physicalmodels with natural growth in the gradient respect to a Hardy potential, Advances in Mathematics,225 (2010) 2967-3021.

91. J. Chabrowski, I. Peral, B. Ruf, On an eigenvalue problem involving the Hardy potential, Commu-nications in Contemporary Mathematics, 12, (2010), 6, 953-975.

92. J. D. Davila, I.Peral, Some remarks on elliptic problems involving the Hardy potential, Calculus ofVariations and PDE., 41, (2011) 567-586.

93. B. Abdellaoui, D. Giachetti, I. Peral, M. Walias, Non-linear elliptic problems with dependence onthe gradient and singular on the boundary, Nonlinear Analysis 74 (2011) 1355-1371

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94. F Della Pietra, I. Peral, Elliptic problems with strong degeneration at infinity, Communications inPure and Applied Analysis, 10 (2011) 2, 593-612.

95. B. Abdellaoui, M.Bouguima , I. Peral, An obstacle problem with gradient term and asymptoticallylinear reaction, Rend. Lincei Mat. Appl. 22 (2011), 29-50.

96. A. Mercaldo, I. Peral, A. Primo, Existence results for non-coercive nonlinear elliptic equations withHardy potential, J. Differential Equations 251 (2011) 3114-3142.

97. R. Argiolas, F. Charro, I. Peral, On the Alexandroff-Balkeman-Pucci estimate for nonlinear opera-tors, Arch. Rational Mech. Anal. 202 (2011) 875-917.

98. B. Abdellaoui, A. Dall’Aglio, I. Peral, S. Segura Global existence for nonlinear parabolic problemswith measure data. Applications to non-uniqueness for parabolic problems with critical gradientterms, Advanced Nonlinear Studies 11 (2011), 733-780

99. F. Charro, I. Peral, Limits as p → ∞ of p-Laplacian concave-convex problems, Nonlinear Analysis75 (2012) 2637-2659.

100. S. Merchan, I. Peral, Solvability of a quasilinear elliptic equation with a supercritical term involvingthe Hardy-Leray potential, J. Math. Anal. Appl 394, (2012) no 1, 347-359

101. I. Peral, Beyond the Mountain Pass: Some Applications, Advanced Nonlinear Studies 12 (2012),819-850.

102. I. Peral, In memory of James Serrin, a great mathematician of the twentieth century. (Spanish)Gac. R. Soc. Mat. Esp. 15 (2012), no. 4, 631-636

103. C. Escudero, I. Peral, Some fourth order nonlinear elliptic problems related to epitaxial growth, J.Differential Equations, 254 (2013), 2515-2531.

104. C. Escudero, R. Hakl, I. Peral, J.P. Torres, On the radial stationary solutions to a model of none-quilibrium growth, European Journal of Applied Mathematics 24 (2013), n 3, 437-453.

105. B. Abdellaoui, I. Peral, M. Walias, Multiplicity for porous media and fast diffusion equations witha quadratic gradient term, Contemporary Mathematics Volume 594, (2013) 37-58,

DOI: 10.1090/conm/594/11794.

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106. C. Escudero, R. Hakl, I. Peral, J.P. Torres, Existence and nonexistence results for a singular boun-dary value problem arising in the theory of epitaxial growth, Math. Methods Appl. Sci. 37 (2014),no. 6, 793-807. , DOI: 10.1002/mma.2836.

107. B. Abdellaoui, D. Giachetti, I. Peral, M. Walias, Elliptic problems with nonlinear terms dependingon the gradient and singular on the boundary: Interaction with a Hardy-Leray potential, DCDS-A,34 (2014) no 5, 1747-1774. DOI 10.3934/dcds.2014.34.xx

108. S. Merchan, L. Montoro, I. Peral, B. Sciunzi, Existence and qualitative properties of solutions to aquasilinear elliptic equation involving the Hardy-Leray potential, Ann. Inst. H. Poincare Anal. NonLineaire 31 (2014), no. 1, 1-22 DOI: 10.1016/j.anihpc.2013.01.003.

109. B. Abdellaoui, S.E. Miri, I.Peral, M.T.Touaoula, Some remarks on quasilinear parabolic problemswith singular potential and a reaction term, NoDEA Nonlinear Differential Equations Appl. 21(2014), no. 4, 453-490. DOI 10.1007/s00030-013-0253-y.

110. Begona Barrios, Marıa Medina, Ireneo Peral, Some remarks on the solvability of non local ellipticproblems with the Hardy potential. Commun. Contemp. Math. 16 (2014), no. 4, 1350046, 29 pp.DOI: 10.1142/S0219199713500466

111. Fausto Ferrari, Marıa Medina, Ireneo Peral, Biharmonic elliptic problems involving the 2-nd Hessianoperator, Calc. Var. Partial Differential Equations 51 (2014), no. 3-4, 867-886.

DOI 10.1007/s00526-013-0698-1

112. B. Barrios, I. Peral, F. Soria, E. Valdinoci, A Widder’s type Theorem for the heat equation withnonlocal diffusion. Arch. Ration. Mech. Anal. 213 (2014), no. 2, 629-650.

DOI 10.1007/s00205-014-0733-1

113. B. Abdellaoui, A. Attar, S. Merchan, I. Peral, Effect of a gradient term on the solvability of the heatequation with a supercritical reaction with respect to the Hardy potential. Adv. Nonlinear Stud. 14(2014), no. 3, 547-564.

114. B. Abdellaoui, I. Peral, A. Primo, A remark on the fractional Hardy inequality with a remainderterm, C. R. Math. Acad. Sci. Paris 352 (2014), no. 4, 299-303.

115. B. Abdellaoui, I. Peral, M. Walias, Porous media and fast diffusion equations with a gradient term,Transaction of the American Mathematical Society, 367 (2015) no 7, 4757-4791.

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116. Tommaso Leonori, Ireneo Peral, Ana Primo, Fernando Soria, Basic estimates for solution of ellip-tic and parabolic equations for a class of nonlocal operators, Discrete and Continuous DynamicalSystems- A, Volume 35, Number 12, (2015) 6031-6068.

117. Carlos Escudero, Filippo Gazzola, Ireneo Peral, Global existence versus blow-up results for a fourthorder parabolic PDE involving the Hessian, J. de Math. Pures t Appl, 103 (2015), 924-957.

DOI 10.1016/j.matpur.2014.09.007

118. S. Merchan, L. Montoro, I. Peral, Optimal reaction’s exponent for some qualitative properties ofsolutions to p-heat equation, Communications on Pure and Applied Analysis Volume 14, (2015) no1, 245-268. DOI 10.3934/cpaa.2015.14.245

119. A. Attar, S. Merchan, I. Peral, A remark on the existence properties of a semilinear heat equationinvolving a Hardy-Leray potential, J. Evol. Equ. 15 (2015), 239-250. DOI 10.1007/s00028-014-0259-x

120. B. Barrios, I. Peral, S. Vita, Some remarks about the summability of nonlocal nonlinear problems,Adv. Nonlinear Anal. 4 (2015), no. 2, 91-107.

121. B. Barrios, I. De Bonis, M. Medina, I. Peral, Semilinear problems for the fractional laplacian witha singular nonlinearity, Open Math. (2015), no 13, 390-407.

122. B. Abdellaoui, M. Medina, I. Peral, A. Primo, Optimal results for the fractional heat equationinvolving the Hardy potential. Nonlinear Anal. 140 (2016), 166-207.

123. B. Abdellaoui, M. Medina, I. Peral, A. Primo, A note on the effect of the Hardy potential in someCalderon-Zygmund properties for the fractional Laplacian, J. Differential Equations 260 (2016), no.11, 8160-8206.

124. S. Dipierro, L. Montoro, I. Peral, B. Siunzi, Critical problem for the fractional laplacian in presenceof the Hardy potential in the whole Rn, Calc. Var. Partial Differential Equations 55 (2016), no. 4,Paper No. 99, 29 pp.

125. S. Dipierro, M. Medina, I. Peral, E. Valdinoci, Bifurcation results for a fractional elliptic equationwith critical exponent in Rn, Manuscripta Math. 153 (2017), no. 1-2, 183-230.

126. B. Abdellaoui, I. Peral, Towards a deterministic KPZ equation with fractional diffusion: the statio-nary problem, Nonlinearity 31 (2018) 1260-1298

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127. B. Abdellaoui, A. Attar, R. Bentifour, I. Peral, On fractional p laplacian problem with general data.Annali di Matematica Pura ed Applicata 197 (2018), no 2, 329-356. DOI 10.1007/s10231-017-0682-z.

128. I. Peral, On Some Elliptic and parabolic equations related to growth models, A. Farina, E. ValdinociEditors, Lectures Notes in Mathematics 2211, CIME Foundation Subseries pag 43-196, Springer,2018.

129. B. Abdellaoui, A. Attar, R. Bentifour, I. Peral, On a fractional quasilinear parabolic problem: theinfluence of the Hardy potential, NoDEA Nonlinear Differential Equations Appl. 25 (2018), no. 4,25: 30. https://doi.org/10.1007/s00030-018-0521-y

130. T. Leonori, M. Medina, I. Peral, A. Primo, F. Soria, Principal Eigenvalue of Mixed Problem for theFractional Laplacian: Moving the Boundary Conditions, J. Differential Equations 265 (2018), no. 2,593-619. https://doi.org/10.1016/j.jde.2018.03.001.

131. B. Abdellaoui, A. Attar, A. Dieb, I. Peral, Attainability of the fractional Hardy constant with non-local mixed boundary conditions. Applications . Discrete Contin. Dyn. Syst., 38 (2018), no 12, pp.5963-5991. doi:10.3934/dcds.2018131

132. B. Barrios, L. Montoro, I. Peral, F. Soria, A Neumann condition for s-fractional laplacian withs > 1 . Nonlinear Analysis 193 (2020) 111368, 34 pag.

DOI: 10.1016/j.na.2018.10.012

133. L. Boccardo, L. Orsina, I. Peral, A quasilinear singular elliptic problem related to the Kardar-Parisi-Zhang equation. Applicable Analysis, published on line DOI: 10.1080/00036811.2019.1634259

134. B. Abdellaoui, I. Peral, A. Primo, A note on the Fujita exponent in Fractional heat equation involvingthe Hardy potential. Mathematics in Engineering 2 (2020) no 4, 639-656.

DOI:10.3934/mine.2020029.

135. B. Abdellaoui, I. Peral, A. Primo, F. Soria, Fractional KPZ equations with critical growth in thegradient respect to Hardy potential, Nonlinear Analysis 201 (2020), 111942.

https://doi.org/10.1016/j.na.2020.111942 .

136. B. Abdellaoui, P. Ochoa I. Peral, A note on quasilinear equations with fractional diffusion. Mathe-matics in Engineering, 3 (2020), no 2, 1-28.

DOI:10.3934/mine.2021018.

137. B. Abdellaoui, I. Peral, A. Primo, F. Soria, On the KPZ equation with fractional diffusion. PreprintarXiv:1904.04593

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138. I. Peral, F. Soria, Elliptic and Parabolic Equations involving the Hardy-Leray Potential. De GruyterSeries in Nonlinear Analysis and Applications (to appear 2021),

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Libros

[1] Problemas de Ecuaciones Diferenciales Ordinarias. Editorial Alhambra Madrid, 1977. En colabo-racion con M.de Guzman y M. Walias.

[2] Fourier Analysis. Prooceedings of the Seminar held at El Escorial 1979. Madrid 1980. Coeditorcon M. de Guzman.

[3] Recent Progress in Fourier Analysis Mathematics Studies 111 North-Holland 1985. Coeditor conJ.L. Rubio de Francia.

[4] Primer Curso de Ecuaciones en Derivadas Parciales. Textos de la U.A.M., Addison Wesley,Boston-Madrid-Mexico, 1995.

Participacion en comites editoriales

Miembro del Editorial board de Advanced Nonlinear Studies.

Miembro del Editorial board de Rivista di Matematica dell’Universita di Parma.

Ex-Miembro del Editorial board del Boletın SEMA.

Co-Editor con Angelo Alvino, Anna Mercaldo, Francois Murat de Nonlinear Elliptic Pro-blems: the Notion of Solution with Non Finite Energy, Quaderni di Matematica vol. 23 Departmentof Mathematics, Seconda Universita di Napoli, Caserta, (Italia), 2008.

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Otras publicaciones y comunicaciones.

Los Teoremas de De Rham , memoria dirigida por D. German Ancochea para el Premio Fin deCarrera de la Fundacion Villanueva y Quintanilla Universidad Complutense (1970).

Aspectos de un problema de Analisis Armonico. Actas de I J.H.L. Lisboa 1972.

Resultados sobre ciertos operadores maximales mediante el metodo de rotacion. Actas de II J.H.L.Madrid 1973.

Nuevos Metodos en Diferenciacion. Tesis Doctoral Serie A N-232 Facultad de Ciencias UniversidadComplutense (1974).

(con A.Gutierrez-M.de Guzman) Soluciones fundamentales de ciertos operadores hipoelıpticos ActasXII R.M.E. Malaga(1978).

Sobre existencia y unicidad de ecuaciones de ondas no lineales. Actas de III C.E.D.Y.A. Santiagode Compostela (1981).

Problemas de autovalores no lineales, Actas IX C.E.D.Y.A. Valladolid (1986).

(con J. Garcia Azorero) Nonlinear eigenvalues and bifurcation for the p-laplacian. Comunicacionpresentada al I Workshop in Filtration and Nonlinear Diffusion Leiden 1989.

(con J. Garcia Azorero) Nonuniqueness for problem involving p-laplacian and non symmetric terms.I Coloquio Italo-Espanol , El Escorial (1989).

(con J. Garcia Azorero) Problemas con falta de compacidad Actas del Coloquio de MatematicaAplicada, Malaga (1989).

Resultats pour Problemes sans compacite. I Seminario de Otono de E.D.P. U.A.M. (1989).

On a Emden-Fowler type equation. II Workshop on Filtration and Nonlinear Diffusion, Miraflores(1989).

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On a Emden-Fowler type equation II. III Workshop on Filtration and Nonlinear Diffusion, Ausburg,Germany (1992).

On a Frank-Kamenetsky model in combustion, Workshop on Filtration and Nonlinear Diffusion,Delf, Nederland (1993).

Multiplicity of solution for the p-Laplacian Lectures Notes of the Second International School inFunctional Analysis and Applications to Differential Equations. International Centre of TheoreticalPhysics, Trieste (Italia) 1997.

Calculo de variaciones y ecuaciones en derivadas parciales Notas del curso para postgraduadosimpartido en la Universidad de Almeria. (1998)

Caprichos (el sueno de una tarde de verano) en Fotografiando las Matematicas, Ed CarrogioBarcelona, 2000.

Antonio Ambrosetti un italiano en la UAM: Historia de un excelente matematico Laudatio investi-dura Doctor Honoris Causa de A. Ambrosetti en la UAM.

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CongresosSolo se incluyen los de caracter internacional organizados por I. Peral.

1979, El Escorial Seminar on Fourier Analysis. Conferenciantes principales: Calderon, A. Cordoba,R. Coiffman, Y. Meyer y S. Wainger. (Coorganizador M. de Guzman).

1980, El Escorial Nonlinear wave equations and reaction-diffusion system. Conferenciantes princi-pales: J. Smoller, W. Strauss y W. Littman. ( Coorganizador J. Hernandez).

1983, El Escorial Seminar on Fourier Analysis II Conferenciantes Principales: A. Calderon, E.M.Stein, J.P. Kahane, Y. Meyer (Coorganizador J.L. Rubio de Francia).

1987, Universidad Internacional Menendez Pelayo Ecuaciones en Derivadas Parciales No Lineales. Principales conferenciantes: L.A. Caffarelli, L. Nirenberg, C.Dafermos y P.Benilan. (Coorganiza-dores A. Cordoba y J.L. Vazquez).

1990, Universidad Menendez Pelayo Ecuaciones en Derivadas Parciales . Conferenciantes invitados:L.A. Caffarelli, P.L. Lions y J. Giacquinta. (Codirector J.L. Vazquez, secretario E. Zuazua)

1991, Universidad Menendez Pelayo Ecuaciones en Derivadas Parciales . Conferenciantes invitados:H. Berestycki, L.C. Evans, T.P. Liu, R. Schoen (Codirectores L. A. Caffarelli y J.L. Vazquez)

1996, Universidad Menendez Pelayo Recent trends in Elliptic Equations. Conferenciantes invitados:A. Ambrosetti, L. Boccardo, D. De Figueiredo, J. Serrin, M. Struwe. ( Codirector A. Ambrosetti)

2006 Universidad Autonoma de Madrid Spring Concentration Period on PDE’s, Mayo-Junio 2006

2006 Chair Session on Partial Differential Equations, ICM 2006, Agosto 2006, Madrid.

2007 Primer encuentro de la red Ecuaciones Parabolicas y Elıpticas no lineales, Jan Jose, Cabo deGata, Almeria 19-22 Septiembre de 2007.

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Conferencias y cursos mas relevantes

1980 Remarques sur L’Equation des Ondes Ecole Polytechnique de Paris, (Seminaire Goulaouic-Meyer-Schwartz), France.

1988 Problemes de Valeurs Propres non-lineaires, Universite Paris IX Dauphine (Colloquium Cere-made), France.

1992 Quasilinear Elliptic Equations, University of Leiden (Departement of Mathematics), Neder-lands.

1992 On an Endem-Fowler Problem, Institute for Advadced Study Princeton (Seminar on PartialDifferential Equations), U.S.A.

1994 Multiplicity of positive solutions for a quasilinear elliptic equation, Dipartamento de Matema-tica Universita di Roma I, Italia.

1994 On a Fourth Order Problem with Critical Exponent,Conferencia invitada en Nonlinear PartialDifferential Equations Arising from Variational Problems, Organizado por Caffarelli, Dal Masso yGarofalo. Instituto Nazionale d’Alta Matematica Cortona, Italia.

1996 Resultados sobre bifurcacion multiple Departamento de Analisis Matematico, Universidad deValencia Espana.

1996 Resultados de multiplicidad para problemas elıpticos quasilineales Departamento de AnalisisMatematico y Matematica Aplicada Universidad Central de Barcelona , Espana.

1997 Multiplicidad de soluciones en problemas elıpticos: Crecimiento frente a forma Departamentode Matematica Aplicada Universidad Complutense , Espana.

1997 Hardy inequalities and some critical elliptic and parabolic problems Dipartamento di Matema-tica Universita di Roma I , Italia.

1997 Some recent trends in quasilinear elliptic equations Scuola Normale Superiore di Pisa, Italia.

1997 Multiplicity of solutions for nonlinear elliptic equations International Center of TheoreticalPhysics, Trieste, Italia. ( Curso de 4 conferencias dentro de Second School of Nonlinear FunctionalAnalysis and Applications to Differential Equations organizado por A. Ambrosetti, S. Chang e I.Ekeland).

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1997 Estimaciones W 1,p para ecuaciones elıpticas Departamento de Analisis Matematico, Univer-sidad de Granada. Septiembre 1997.

1998 Workshop on Variational Methods and Partial Differential Equations of Mathematical PhysicsScuola Normale Superiore, Pisa (Italia) ( Dos conferencias). Febrero 1998.

1998 Calculo de variaciones y ecuaciones en derivadas parciales Universidad de Almeria. Cursopara postgraduados. Septiembre 1998.

1998 Conference in Honor to Louis Nirenberg I.C.T.P. Trieste, Italia. Noviembre 1998.

1999 Quasilinear Elliptic Problems in RN Equadiff99 Berlin, Alemania, 2-8 Agosto 1999

1999 Ecuaciones en Derivadas Parciales, Curso de Doctorado, Universidad de Santiago de Com-postela, 8-12 Noviembre 1999

2000 Un metodo de Analisis Real en Homogeneizacion 1-3 Junio 2000, Nolineal 2000, Almagro,(Ciudad Real) Espana.

2000 Perturbations of −∆u = u(N+2)/(N−2) in the whole RN II Symposium in Nonlinear Par-tial Differential Equations and Free Boundary Problems, July 3-7, 2000, Buenos Aires, RepublicaArgentina

2000 Remarks on bifurcation Analisi Nonlineare Perugia (Italia) Noviembre 9-11 2000.

2001 Existence and Nonexistence for Quasilinear Elliptic Equations 3 Talks in Dipartamento diDipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universita Roma I, (Italia).

2001 Existence and Nonexistence for Quasilinear Elliptic and Parabolic Equations, Workshop Qua-silinear Elliptic and Parabolic Equations and System, Luminy, Marsella ( Francia)

2002 Existence and non-existence for some elliptic and parabolic problems Conferenciante invitadoal Congreso: Journees E.D.P. Elliptiques et Paraboliques, Universite d’Orleans (Francia).

2002 Some results on Elliptic and Parabolic Equations related to Caffarelli-Kohn-Nirenberg Inequa-lities Conferenciante invitado al Symposium on Partial Differential Equations to celebrate theSeventy-Fifth Birthday of James Serrin, Perugia, Italia.

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2003 Harnack inequality and spectral instantaneous and complete blow-up for some parabolic equa-tions related to Caffarelli-Kohn-Nirenberg inequalities. Conferenciante invitado Session 31 PDEMethods in Continuum Mechanics of First Joint Meeting between the RSME and the AMS Sevilla,Espana.

2003 Elliptic equations with singular potential Conferenciante invitado a Session on Nonlinear Analy-sis Equadiff 2003, Hasselt, Belgica.

2004 Some remarks on elliptic equations Seminario di Dipartamento di Metodi e Modelli matematiciper le Szience Roma I, Italia.

2004 Ecuaciones elıpticas con potenciales singulares Seminario del Departamento de Matematicasde la Universidad Rey Juan Carlos, Madrid, Espana.

2004 Hardy plus Harnack equal blow-up Seminario Departamento Matematica Aplicada U.C.M.Madrid, Espana.

2004 Elliptic Equations Involving Singular Potentials Mini-whorshop en PDE, Departamento deAnalisis Universidad de Valencia, Espana.

2005 Regularity and Nonuniqueness Results for Elliptic Problems with Critical Growth in the Gra-dient, Mat2005, Valencia, Espana.

2005 Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Condi-tions, International Symposium on Variational Methods and Nonlinear Differential Equations onthe occasion of Antonio Ambrosetti’s 60th birthday Universita Roma Tre, Roma, Italia. January,2005

2005 Regularity and Nonuniqueness Results for Elliptic Problems with Critical Growth in the Gra-dient, Dip. Matematica Universita Federico II, Napoli, Italia. March, 2005

2005 Improved Hardy-Sobolev Inequalities and applications, International School of MathematicsG. STAMPACCHIA, 42nd Workshop: VARIATIONAL METHODS IN NONLINEAR ANALYSISDedicated to Louis Nirenberg and Giovanni Prodi on the occasion of their 80th birthday. ETTOREMAJORANA FOUNDATION AND CENTRE FOR SCIENTIFIC CULTURE, Erice, Sicilia, Italia.April, 2005.

2005 Some Remarks on Elliptic Problems with the energy going somewhere Solutions of the equationswith infinite energy. Cortona, Italia. May, 2005.

2005 The Neumann Problem for ∆∞ ant the transport of mass of Monge-Kantotovich, UniversitaRoma I, Dip. Matematica, Italia. June, 2005.

2005 Improved Hardy-Sobolev Inequalities and bifurcation, Universita Roma I, Dip MO ME Mat.Italia. June, 2005.

2005 Improved Hardy-Sobolev Inequalities and applications, Avances recientes en EDP, Almeria,Espana. July, 2005.

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2005 Regularity and Nonuniqueness Results for Elliptic Problems with Critical Growth in the Gra-dient III Symposium in NPDE and FBP, Buenos Aires, Republica Argentina. August, 2005.

2005 Regularity and Nonuniqueness Results for Elliptic Problems with Critical Growth in the Gra-dient Universite Francois Rabelais, Tours, France, December 2005.

2006 Hardy plus Harnack equal blow-up, Departamento de Analisis Matematico, Universidad deGranada, Espana April, 2006.

2006 Viscous Hamilton-Jacobi Equations with a Hardy Potential, Departamento de Analisis Ma-tematico, Universidad de Granada, Espana April, 2006.

2006 Viscous Hamilton-Jacobi Equations with a Hardy Potential:critical exponent and break-downof resonance Espalia 2006, Dipartamento di Matematica, Roma I, Italia, June, 2006

2006 Viscous Hamilton-Jacobi Equations with a Hardy Potential, Geometric Analysis and PDEs,ICM2006 Satellite Conference. September 1 - 4, 2006 Napoli, Italia.

2006 Some remarks on systems of elliptic equations, 6th Workshop on Nonlinear Differential Equa-tions, September 11-15, 2006. Como, Italy.

2007 On nonlinear elliptic systems Topics in Nonlinear Analysis and Applications to Partial Dif-ferential Equations. A Celebration of Norman Dancer’s 60 th Birthday, January 29 - February 1,2007. Universita Roma I, Italy.

2007 Some Results for Elliptic Equations with a term ±|∇u|q FisyMat Universidad de Granada,February 18, 2007, Granada, Spain.

2007 it Parabolic equations with a term in the gradient, Departamento de Analisis Matematico,Universidad de Valencia, March 20, 2007, Valencia, Spain.

2007 Remarks on Systems of Elliptic Equations Departamento de Analisis Matematico Universidadde Granada, June 1, 2007, Granada, Spain.

2007 Parabolic Problems with a quadratic term in the gradient: Regularity and Nonuniqueness.Dipartamento di Matematica, Universita Federico II, June 6, 2007, Napoli, Italia

2007 Viscous Hamilton-Jacobi equations with a singular potential. An international conference inhonour of Juan Luis Vazquez on the occasion of his 60th birthday. June 26-29, 2007 El Escorial,Spain.

2008 Elliptic equations with some lack of coercivity, Departamento de Analisis, Universidad de laLa Laguna, February 13, 2007, La Laguna (Tenerife) Spain.

2008 Elliptic equations with some lack of coercivity, Universite Abou Bekr Belkaid, February 27,2008, Tlemcem, Algeria.

2008 Limit as p → ∞ of concave p-laplacian problems. Primo incontro delle Donne del ∆, June11-13, 2008, Cortona, Italy.

2008 Fully nonlinear problems with concave and concave-convex right hand side Seminario Dipar-tamento di Matematica, June 16, 2008, Universita Roma I, Italy.

2008 Elliptic and parabolic equations with critical growth in the gradient respect to the Hardy poten-tial. Workshop on Elliptic and Parabolic Equations and Systems. June 18-20, 2008, Napoli, Italy.

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2008 Results for parabolic problems arising in some physical models, having natural growth in thegradient. International Workshop on Partial Differential Equation for the 80th birthday of JamesSerrin. June 25-26, 2008, Perugia, Italy.

2008 The heat equation with critical growth in the gradient respect to the Hardy potential. TheLondon Mathematical Society. Workshop on Calculus of Variations and Nonlinear PDEs. September16-17, 2008, Swansea, United Kingdom.

2008 Results for parabolic problems arising in some physical models, having natural growth in thegradient Jornadas de EDP y aplicaciones, December 18-19, Granada, Spain.

2009 Fully nonlinear problems with zero order perturbation: critical exponent and all that Trendsin Nonlinear Analysis and PDE, on the occasion of Luis Caffarelli’s 60th birthday. February 5-7,Milano, Italy.

2009 Problemas elıpticos con terminos en el gradiente, Departamento de Ingenieria Matematica,Universidad de Chile, Marzo 2009

2010 Some remarks on elliptic problems involving the Hardy potential, Dipartamento di Matematica.Universita Federico II, Napoli. Febrero 2010.

2010 Some remarks on elliptic problems involving the Hardy potential with singularity on the boun-dary Nonlinear PDE and Boundary Value Problems with Measure Data, Technion-Israel Institute,Haifa, March 1-5, 2010.

2010 The Alexandroff-Bakelman-Pucci maximum principle revisited. Applications MATHEMATICS& APPLICATIONS, Universita di Cagliari June 3-5, 2010.

2010 Some experiences in Partial Differential Equations, Workshop of young researchers 2010, Uni-versidad Complutense de Madrid, September 22-24, 2010.

2011 Some remarks on elliptic problems involving the Hardy potential with singularity on the boun-dary Conferencia en Dipartamento di Matematica Universita de Bologna, Italia January 27, 2012.

2011 The Hardy-Leray potential, Corso di Dottorato Dimartamento di Matematica, Universita Fe-derico II, Napoli, Italia, May 22-31, 2011

2011 Some remarks on solvability of elliptic problems involving the Hardy-Leray potential JISD2011,Barcelona, June 30, 2011.

2011 On some models of epitaxial growth, IV EBED, Joao Pessoa, Brasil, August 22-26, 2011.

2011 On some models of growth, Workshop on Nonlinear Elliptic PDE’s and Applications, Granada,December 15-16, 2011.

2012 Elliptic Problems Related to Porous Media and Fast Diffusion Equations, Analysis Seminar,Ecole Polytechnique Federale de Lausanne, Switzerland, March 9, 2012.

2012 The scientific work of A. Ambrosetti, reunion en Venecia (Italia) con mas de 40 especialistasde Calculo de Variaciones y Analisis no Lineal, March 18-19 2012.

2012 Nonlinear elliptic problems related to some growth models, Workshop on Nonlinear PartialDifferential Equations. On the ocasion of the sixtieth birthday of Patrizia Pucci. Perugia (Italy)May 28-June 1, 2012.

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2012 Some remarks on the porous media and fast diffusion equations with a growth term. Workshopon Quasilinear Equations and Singular Problems, F I R S T, Tours (France) June 4,5,6 2012.

2012 Some remarks on solvability of elliptic problems involving the Hardy-Leray potential, Diparta-mento di Matematica, Politecnico di Milano, July 2, 2012

2012 Beyond the Mountain Pass:some applications, A Day in Honor to Antonio Ambrosetti, Venezia,Italia, June 6, 2012. (Speakers: H. Brezis, I. Ekeland, I. Peral, P.H. Rabinowitz)

2013 Solvability of elliptic and parabolic problem involving the Hardy potential, Congres Internationaldu LEM2I Rabat Marocco, February 12-15, 2013

2013 Some problems in Partial Differential Equations describing growth Serie of three lectures.Women in Mathematics Summer School, ICTP, 2013 Trieste, Italy. May 29- June 2, 2013

2013 Some remarks on fourth order problems motivated for a growth model. Variational and Topo-logical Methods in Nonlinear Phenomena, Alghero, Italy, June 24-28, 2013

2013 Elliptic and Parabolic Problems involving Hardy-Leray Potential, Serie of 13 lectures given inSMI Summer Course in Cortona, Italy, July 15-26, 2013.

2013 Some remarks on fourth order problems motivated for a growth model. Conference on Quali-tative and Geometric Aspects of elliptic PDE’s, Barcelona, September 2-6, 2013.

2014 Elliptic and parabolic equations related to growth models, C.I.M.E. course, June 2-6, 2014,Cetraro, Italy. Four lectures of one and half our.

2014 Elliptic problems with a variational formulation Two weeks stay work in the Messina Univer-sity, Italy. The following conferences were delivered.

• Some fourth order problem related to epitaxial growth Dipartamento di Matematica Universitadi Reggio-Calabria, June 19, 2014.

• The stationary Kardar-Parisi-Zhang model of growth and roughening of interfaces. Diparta-mento di Matematica Universita di Messina. June 22, 2014.

• The fractional laplacian with nonlinearities singular in the boundary. Dipartamento di Ma-tematica Universita di Catania, June 27, 2014

2014 Some elliptic and parabolic problems of fourth order related to a variational epitaxial growthmodel, Workshop Existence and Regularity for Nonlinear Systems of Partial Differential Equations,Scuola Normale Superiore di Pisa, Italy, June 30 to July 5 of 2014.

2014 Some remarks on elliptic and parabolic problems appearing in growth models, Workshop onMethodes geeometriques et variationnelles pour des EDPs non-lineaires. Universite Lyon 1, InstitutC. Jordan, Lyon, France. September 1-5, 2014.

2014 Some remarks on elliptic and parabolic problems appearing in growth models. Departamentode Analisis Matematico, Universidad de Granada, Spain. September 23, 2014.

2015 A Hombros de Gigantes: Desde un Modelo de Crecimiento Epitaxial al Analisis Matematico.Ateneos del IMUVA, Valladolid, 29 de Octubre de 2015.

2015 El potencial de Hardy: Monstruo y Amigo. Seminario de Matematicas, Universidad de Murcia19 de Noviembre de 2015.

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2015 Sharp solvability conditions for some fractional parabolic problem involving Hardy potential.2nd Conference on Recent Trends in Nonlinear Phenomena, Napoli, Italia, November 4-6, 2015.

2016 Sharp solvability conditions for some fractional parabolic problem involving Hardy potential.Research Meeting on non-local operators, Cagliari, Italy, October 6-8, 2016.

2016 Sharp solvability conditions for some fractional parabolic problem involving Hardy potential.Departamento de Analisis, Universidad de Granada, June 20, 2016.

2016 The effect of the Hardy potential in some Calderon-Zygmund properties for the fractionalLaplacian. Two-day Meeting on linear and nonlinear PDE’s in honor of the 65th birthday of CristianGutierrez, Bologna, Italy, June 9-10, 2016.

2017 Toward a KPZ with fractional diffusion. James Serrin: From His Legacy to the New Frontiers,Universita de Perugia, Italy. January 30 to February 3, 2017.

2017 Estelas en el mar: Toward the stars in the sky. New trends on partial differential equations.Un homenaje a Ireneo Peral. Granada, May 24-27 2017.

2017 Traveling with Dirichlet and Neumann. Conferenza di InDAM, Bari 30/31 maggio 2017.

2017 Toward a KPZ with fractional diffusion. A broad perspective on finite and infinite dimensionalDynamical Systems. Rafafest. Universitat de Barcelona, June 12-16, 2017

2017 Traveling with Dirichlet and Neumann. Applications Seminario di Analisi Matematica, Dipar-tamento di Matematica, Universita di Roma, La Sapienza, Italy. October 9, 2017

2017 Toward a KPZ with fractional diffusion. Workshop in Probability and Partial DifferentialEquations Celebrating Juanjo Manfredi’s first 60 years. ICAS, UNSAM, Buenos Aires, RepublicaArgentina, November 20, 21 and 22, 2017.

2018 Principal Eigenvalue of Mixed Problem for the Fractional Laplacian: Moving the BoundaryConditions. Applications Regularity theory for elliptic and parabolic systems and problems in con-tinuum mechanics. Telc, Czech Republic, May 2-5, 2018.

2018 A Hombros de Gigantes: Desde las Matematicas al Mundo Real y viceversa. I Jornadas de BigData & Matematicas, Laboratorio de Datos de ASEPUMA y la Facultad de Ciencias Economicasy Empresariales de la USP-CEU Madrid, 28 de Mayo de 2018.

2019 Toward a KPZ model with fractional diffusion RSME Santander, February 4-8, 2019.

2020 Some remarks on a quasi-linear problem with fractional diffusion, First Virtual Meeting inPDEs and Applications. June 11, 2020

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Tesis Doctorales DirigidasTitulo: Resultados de no unicidad para el p-laplacianoDoctorando: Jesus Garcıa AzoreroUniversidad: Autonoma de Madrid Faculdad: Ciencias.Ano: 1989 Calificacion: Apto Cum Laude.

Titulo: Problemas Crıticos y Supercrıticos de Reccion DifusionDoctorando: Juan Antonio Aguilar CrespoUniversidad: Autonoma de Madrid Faculdad: Ciencias.Ano: 1998 Calificacion: Apto Cum Laude.

Titulo: Ecuaciones elıpticas y parabolicas relacionadas con las desigualdades deCaffarelli-Kohn-NirenbergDoctorando: Boumediene AbdellaouiUniversidad: Autonoma de Madrid Faculdad: Ciencias.Ano: 2003 Calificacion: Sobresaliente Cum Laude.

Titulo:Ecuaciones elıpticas y parabolicas con condiciones mixtas Dirichlet-NeumannDoctorando: Eduardo Colorado HerasUniversidad: Autonoma de Madrid Faculdad: Ciencias.Ano: 2004 Calificacion: Sobresaliente Cum Laude.

Titulo:Influencia del Potencial de Hardy en Ecuaciones Elıpticas y ParabolicasDoctorando: Ana Primo RamosUniversidad: Autonoma de Madrid Faculdad: Ciencias. Tesis con Mencion EuropeaAno: 2008 Calificacion: Sobresaliente Cum Laude.

Titulo:Concentration and asymptotic behavior of solution for some singularlyperturbed mixed problemsDoctorando: Luigi MontoroUniversita degli Studi della Calabria Faculdad: Matematica ed Informatica.Codirigida con Annamaria CaninoAno: 2009 Calificacion: Sobresaliente cum Laude.

Titulo:Analisis de ecuaciones elıpticas completamente no lineales,impropias respecto a terminos de orden cero.Doctorando: Fernando Charro CaballeroUniversidad: Autonoma de Madrid, Facultad de Ciencias. Tesis con Mencion Europea.Ano: 2009 Calificacion: Sobresaliente cum Laude.

Titulo:Nonlocal problems in partial differential equations.Doctorando: Begona Barrios BarreraUniversidad: Autonoma de Madrid, Facultad de Ciencias. Tesis con Mencion Europea.Codirigida con Fernando Soria de Diego.Ano: 2013 Calificacion: Sobresaliente cum Laude.

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Titulo:Supercritical elliptic and parabolic problems involving the Hardy-Leray potential.Solvability and qualitative properties.Doctorando: Susana Merchan RubiraUniversidad: Autonoma de Madrid, Facultad de Ciencias. Tesis con Mencion Europea.Ano: 2013 Calificacion: Sobresaliente cum Laude.

Titulo:Nonlinear elliptic and parabolic equations related to reaction, diffusion and growth.Doctorando: Marıa Medina de la Torre.Universidad: Autonoma de Madrid, Facultad de Ciencias. Tesis con Mencion Internacional.Ano: 2015 Calificacion: Sobresaliente cum Laude.

Otros trabajos de direccion

Tesis de Licenciatura dirigidas:

E. Miquel Pericas Ecuaciones de Ondas no lineales , U.A.M. 1980. Calificada con Sobresaliente.

A. Barquilla Resultados recientes de ecuaciones de Ondas no lineales, U.A.M. 1986. Calificada conSobresaliente.

A. de Pablo Problemas Elıpticos de Segundo Orden, U.A.M. 1986. Calificada con Sobresaliente.

J. Garcıa Azorero Teorıa de Puntos Crıticos y aplicaciones a E.D.P. U.A.M. 1986. Calificada conSobresaliente.

E. Colorado Heras Principios del Maximo para Ecuaciones Elıpticas de Segundo Orden y aplicacio-nes U.A.M. 1999. Calificada con Sobresaliente.

A. Primo Ramos Homogeneizacion periodica Trabajo para obtener DEA.

F. Charro Caballero Homogeneizacion periodica de ecuaciones en derivadas parciales no linealesTrabajo para obtener DEA.

Susana Merchan Rubira Sobre algunos problemas de crecimiento

Trabajo fin de Master.

Stefano Vita, (Co-directora Begona Barrios) Basic results on quasilinear nonlocal elliptic problemsinvolving the fractional p-laplacian, Universita degli Studi di Milano, Italia.

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Estancia en centros extranjerosDepartment of Mathematics University of Leiden, Netherland, 1992, 4 semanas. Ecuaciones

elıpticas. Profesor invitado.

Institute for Advanced Study of Princeton, School of Mathematics, Princeton U.S.A. 1992.1 mes. Ecuaciones elıpticas y parabolicas. Sort time visiting professor

Scuola Normale Superiore di Pisa, Pisa, Italia. 1995. 2 semanas Ecuaciones elıpticas. Visitingprofessor

Dipartamneto di Matematica, Universita Roma I Italia. 1997. 1 mes. Ecuaciones elıpticas yCalculo de variaciones. Visiting professor.

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universita RomaI Italia. 2002. 1 mes. Ecuaciones Elıpticas Parabolicas. Visiting professor.

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universita RomaI Italia. 2005. 1 mes. Ecuaciones Elıpticas Parabolicas. Visiting professor.

Dipartimento di Metodi e Modelli Matematici per le Scienze Applicate, Universita RomaI Italia. 2008. 1 mes. Ecuaciones Elıpticas Parabolicas. Visiting professor.

Puestos DirectivosEn 1978 es elegido Vicedecano de la Facultad de Ciencias de la U.A.M. en el equipo presidido por el

Decano D. Nicolas Cabrera.En 1986 es elegido Director de la Division de Matematicas de la U.A.M. que se convierte durante

su mandato en el nuevo Departamento de Matematicas de la U.A.M. dentro de las normas dadas por laL.R.U.

Es elegido como primer Director de dicho Departamento. Termina el mandato en 1988.Ha sido miembro de la inicial Comision Academica de Reclamaciones de la U.A.M.

Otros meritos

Miembro de la Comision de Tercer Ciclo de la U.A.M.

Coordinador del programa de becas FPU del area de Matematicas, MEC, 2006-2007-2008

Miembro del panel de expertos del Programa ACADEMIA de ANECA 2008-2009.

Presidente del Jurado Internacional de la RSME para otorgar el Premio Jose Luis Rubio de Francia2007 y 2008

Evaluador de la Comision de Proyectos en el marco del Programa Nacional, en el area de Matemati-cas, en el ano 2009.

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Sociedades Cientıficas.Desde 1971 es miembro de la Real Sociedad Matematica Espanola.Pertenece a la American Mathematical Society desde 1974.Pertenece al SIAM desde 1995.Es miembro de la Sociedad Espanola de Matematica Aplicada (SEMA), desde su fundacion. En la

actualidad es miembro del Comite Cientıfico.Es miembro de la European Mathematical Society desde 2003.

Labor de recensionEs censor frecuente de varias revistas internacionales (Jou. of Functional Analysis, Advances in Mat-

hematics, American Journal, C.R.A.S. de Paris, Israel Jou., Ann Ins. H.P., Journal Differential Equations,Calculus of Variations and PDE, Nonlinear Analysis, Communication in PDE, Communications in Pureand Applied Analysis, NoDEA, Journal of London Mathematical Society, Revista Iberoamericana, etc...)

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