All Stories

  1. A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation

    Article • Applicable Analysis, June 2019, Taylor & Francis

    Ireneo Peral Alonso

  2. Towards a deterministic KPZ equation with fractional diffusion: the stationary problem

    Article • Nonlinearity, February 2018, Institute of Physics Publishing

    Ireneo Peral Alonso

  3. Ireneo Peral: Forty Years as Mentor

    Article • Advanced Nonlinear Studies, January 2017, De Gruyter

    Prof Boumediene Abdellaoui, Dr. Eduardo Colorado, JESUS GARCIA AZORERO, Ireneo Peral Alonso

  4. Bifurcation results for a fractional elliptic equation with critical exponent in $$\mathbb {R}^n$$ ...

    Article • manuscripta mathematica, August 2016, Springer Science + Business Media

    Ireneo Peral Alonso

  5. Qualitative properties of positive solutions to nonlocal critical problems involving the Hardy-Leray potential

    Article • Calculus of Variations and Partial Differential Equations, July 2016, Springer Science + Business Media

    Ireneo Peral Alonso

  6. Optimal results for the fractional heat equation involving the Hardy potential

    Article • Nonlinear Analysis, July 2016, Elsevier

    Ireneo Peral Alonso

  7. The effect of the Hardy potential in some Calderón–Zygmund properties for the fractional Laplacian

    Article • Journal of Differential Equations, June 2016, Elsevier

    Ireneo Peral Alonso

  8. Basic estimates for solutions of a class of nonlocal elliptic and parabolic equations

    Article • Discrete and Continuous Dynamical Systems, May 2015, American Institute of Mathematical Sciences (AIMS)

    Ireneo Peral Alonso

  9. Global existence versus blow-up results for a fourth order parabolic PDE involving the Hessian

    Article • Journal de Mathématiques Pures et Appliquées, April 2015, Elsevier

    Ireneo Peral Alonso

  10. Some existence and regularity results for porous media and fast diffusion equations with a gradient term

    Article • Transactions of the American Mathematical Society, March 2015, American Mathematical Society (AMS)

    Ireneo Peral Alonso

  11. Semilinear problems for the fractional laplacian with a singular nonlinearity

    Article • Open Mathematics, January 2015, De Gruyter

    Ireneo Peral Alonso

  12. Some remarks about the summability of nonlocal nonlinear problems

    Article • Advances in Nonlinear Analysis, January 2015, De Gruyter

    Ireneo Peral Alonso

  13. A remark on the existence properties of a semilinear heat equation involving a Hardy–Leray potential

    Article • Journal of Evolution Equations, October 2014, Springer Science + Business Media

    Ireneo Peral Alonso

  14. A Widder’s Type Theorem for the Heat Equation with Nonlocal Diffusion

    Article • Archive for Rational Mechanics and Analysis, April 2014, Springer Science + Business Media

    Ireneo Peral Alonso

  15. A remark on the fractional Hardy inequality with a remainder term

    Article • Comptes Rendus Mathématique, April 2014, Elsevier

    Ireneo Peral Alonso

  16. nonlinear elliptic and parabolic equations

    Article • Advanced Nonlinear Studies, January 2014, De Gruyter

    Prof Boumediene Abdellaoui, Ireneo Peral Alonso

  17. Biharmonic elliptic problems involving the 2nd Hessian operator

    Article • Calculus of Variations and Partial Differential Equations, January 2014, Springer Science + Business Media

    Ireneo Peral Alonso

  18. Existence and qualitative properties of solutions to a quasilinear elliptic equation involving the Hardy–Leray potential

    Article • Annales de l Institut Henri Poincaré C Analyse Non Linéaire, January 2014, Elsevier

    Ireneo Peral Alonso

  19. Some remarks on quasilinear parabolic problems with singular potential and a reaction term

    Article • Nonlinear Differential Equations and Applications NoDEA, November 2013, Springer Science + Business Media

    Dr. Sofiane El-Hadi Miri, Ireneo Peral Alonso

  20. Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary: Interaction with a Hardy-Leray potential

    Article • Discrete and Continuous Dynamical Systems, October 2013, American Institute of Mathematical Sciences (AIMS)

    Ireneo Peral Alonso

  21. Existence and nonexistence results for a singular boundary value problem arising in the theory of epitaxial growth

    Article • Mathematical Methods in the Applied Sciences, June 2013, Wiley

    Ireneo Peral Alonso

  22. Some fourth order nonlinear elliptic problems related to epitaxial growth

    Article • Journal of Differential Equations, March 2013, Elsevier

    Ireneo Peral Alonso

  23. On radial stationary solutions to a model of non-equilibrium growth

    Article • European Journal of Applied Mathematics, January 2013, Cambridge University Press

    Ireneo Peral Alonso

  24. Multiplicity results for porous media and fast diffusion equations with a quadratic gradient term

    Article • January 2013, American Mathematical Society (AMS)

    Ireneo Peral Alonso

  25. Limits as of -Laplacian concave–convex problems

    Article • Nonlinear Analysis, March 2012, Elsevier

    Ireneo Peral Alonso

  26. Beyond the Mountain Pass: Some Applications

    Article • Advanced Nonlinear Studies, January 2012, De Gruyter

    Ireneo Peral Alonso

  27. Results for degenerate nonlinear elliptic equations involving a Hardy potential

    Article • Journal of Differential Equations, December 2011, Elsevier

    Ireneo Peral Alonso

  28. On the Aleksandrov–Bakel’man–Pucci Estimate for Some Elliptic and Parabolic Nonlinear Operators

    Article • Archive for Rational Mechanics and Analysis, May 2011, Springer Science + Business Media

    Ireneo Peral Alonso

  29. Elliptic problems with nonlinear terms depending on the gradient and singular on the boundary

    Article • Nonlinear Analysis, February 2011, Elsevier

    Ireneo Peral Alonso

  30. Global Existence for Nonlinear Parabolic Problems With Measure Data– Applications to Non-uniqueness for Parabolic Problems With Critical Gradient terms

    Article • Advanced Nonlinear Studies, January 2011, De Gruyter

    Prof Boumediene Abdellaoui, Ireneo Peral Alonso

  31. An obstacle problem with gradient term and asymptotically linear reaction

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2011, European Mathematical Publishing House

    Ireneo Peral Alonso

  32. Breaking of resonance for elliptic problems with strong degeneration at infinity

    Article • Communications on Pure & Applied Analysis, December 2010, American Institute of Mathematical Sciences (AIMS)

    Ireneo Peral Alonso

  33. Nonlinear elliptic problems with a singular weight on the boundary

    Article • Calculus of Variations and Partial Differential Equations, October 2010, Springer Science + Business Media

    Ireneo Peral Alonso

  34. Strong regularizing effect of a gradient term in the heat equation with the Hardy potential

    Article • Journal of Functional Analysis, February 2010, Elsevier

    Ireneo Peral Alonso

  35. Influence of the Hardy potential in a semilinear heat equation

    Article • Proceedings of the Royal Society of Edinburgh Section A Mathematics, September 2009, Cambridge University Press

    Ireneo Peral Alonso

  36. Concentration of Solutions for Some Singularly Perturbed Mixed Problems: Existence Results

    Article • Archive for Rational Mechanics and Analysis, August 2009, Springer Science + Business Media

    Ireneo Peral Alonso

  37. Multiplicity of solutions to uniformly elliptic fully nonlinear equations with concave–convex right-hand side

    Article • Journal of Differential Equations, June 2009, Elsevier

    Ireneo Peral Alonso

  38. Corrigendum to “Some remarks on elliptic problems with critical growth in the gradient” [J. Differential Equations 222 (2006) 21–62]

    Article • Journal of Differential Equations, April 2009, Elsevier

    Ireneo Peral Alonso

  39. ZERO ORDER PERTURBATIONS TO FULLY NONLINEAR EQUATIONS: COMPARISON, EXISTENCE AND UNIQUENESS

    Article • Communications in Contemporary Mathematics, February 2009, World Scientific Pub Co Pte Lt

    Ireneo Peral Alonso

  40. The limit as p → ∞ for the p-Laplacian with mixed boundary conditions and the mass transport problem through a given window

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2009, European Mathematical Publishing House

    Ireneo Peral Alonso

  41. Global existence for some slightly super-linear parabolic equations with measure data

    Article • Journal of Mathematical Analysis and Applications, September 2008, Elsevier

    Ireneo Peral Alonso

  42. Regularity and nonuniqueness results for parabolic problems arising in some physical models, having natural growth in the gradient

    Article • Journal de Mathématiques Pures et Appliquées, September 2008, Elsevier

    Ireneo Peral Alonso

  43. Some remarks on systems of elliptic equations doubly critical in the whole $${\mathbb{R}^N}$$

    Article • Calculus of Variations and Partial Differential Equations, April 2008, Springer Science + Business Media

    Ireneo Peral Alonso

  44. Limit Branch of Solutions asp → ∞ for a Family of Sub-Diffusive Problems Related to thep-Laplacian

    Article • Communications in Partial Differential Equations, December 2007, Taylor & Francis

    Ireneo Peral Alonso

  45. The critical hyperbola for a Hamiltonian elliptic system with weights

    Article • Annali di Matematica Pura ed Applicata (1923 -), October 2007, Springer Science + Business Media

    Ireneo Peral Alonso

  46. Elliptic problems with a Hardy potential and critical growth in the gradient: Non-resonance and blow-up results

    Article • Journal of Differential Equations, August 2007, Elsevier

    Ireneo Peral Alonso

  47. The Critical Hyperbola for a Hamiltonian Elliptic System with Weights

    Article • January 2007, Springer Science + Business Media

    Ireneo Peral Alonso

  48. A remark on existence and optimal summability of solutions of elliptic problems involving Hardy potential

    Article • Discrete and Continuous Dynamical Systems, August 2006, American Institute of Mathematical Sciences (AIMS)

    Ireneo Peral Alonso

  49. Some remarks on elliptic problems with critical growth in the gradient

    Article • Journal of Differential Equations, March 2006, Elsevier

    Ireneo Peral Alonso

  50. Competition reaction–absorption in some elliptic and parabolic problems related to the Caffarelli–Kohn–Nirenberg inequalities

    Article • Journal of Mathematical Analysis and Applications, February 2006, Elsevier

    Ireneo Peral Alonso

  51. A note on a critical problem with natural growth in the gradient

    Article • Journal of the European Mathematical Society, January 2006, European Mathematical Publishing House

    Ireneo Peral Alonso

  52. Steklov eigenvalues for the $\infty$-Laplacian

    Article • Rendiconti Lincei Matematica e Applicazioni, January 2006, European Mathematical Publishing House

    Ireneo Peral Alonso

  53. A Remark on Perturbed Elliptic Equations of Caffarelli-Kohn-Nirenberg Type

    Article • Revista Matemática Complutense, September 2005, Universidad Complutense de Madrid (UCM)

    Ireneo Peral Alonso

  54. Results on Parabolic Equations Related to Some Caffarelli--Kohn--Nirenberg Inequalities

    Article • SIAM Journal on Mathematical Analysis, January 2005, Society for Industrial & Applied Mathematics (SIAM)

    Ireneo Peral Alonso

  55. Some Remarks on Elliptic Equations with Singular Potentials and Mixed Boundary Conditions

    Article • Advanced Nonlinear Studies, January 2004, De Gruyter

    Prof Boumediene Abdellaoui, Ireneo Peral Alonso

  56. Existence and nonexistence results for a class of linear and semilinear parabolic equations related to some Caffarelli-Kohn-Nirenberg inequalities

    Article • Journal of the European Mathematical Society, January 2004, European Mathematical Publishing House

    Ireneo Peral Alonso

  57. Existence and nonexistence results for quasilinear elliptic equations involving the p -Laplacian with a critical potential

    Article • Annali di Matematica Pura ed Applicata (1923 -), August 2003, Springer Science + Business Media

    Ireneo Peral Alonso

  58. A real analysis theorem and applications to homogenization

    Article • Indiana University Mathematics Journal, January 2001, Indiana University Mathematics Journal

    Ireneo Peral Alonso

  59. Positive radial solutions of quasilinear equations involving supercritical growth

    Article • Nonlinear Differential Equations and Applications NoDEA, August 1998, Springer Science + Business Media

    Ireneo Peral Alonso

  60. Multiplicity Results for Some Nonlinear Elliptic Equations

    Article • Journal of Functional Analysis, April 1996, Elsevier

    Ireneo Peral Alonso

  61. A Dirichlet problem involving critical exponents

    Article • Nonlinear Analysis, June 1995, Elsevier

    Ireneo Peral Alonso

  62. A general result on the equivalence between derivation of integrals and weak inequalities for the Hardy-Littlewood maximal operator

    Article • Studia Mathematica, January 1977, Institute of Mathematics, Polish Academy of Sciences

    Ireneo Peral Alonso