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Mathematics

D-Index
34
Citations
4667
World Ranking
2916
National Ranking
63

Overview

Ireneo Peral is affiliated with the Autonomous University of Madrid in Spain, contributing primarily to the field of Mathematics. Their research is centered on advanced topics within applied mathematics, mathematical physics, and nonlinear partial differential equations.

The scientist's main fields of study encompass:

  • Mathematics

Their subfields of research reflect a focus on:

  • Applied Mathematics
  • Mathematical Physics
  • Computational Theory and Mathematics
  • Modeling and Simulation
  • Occupational Therapy

Principal topics of Ireneo Peral's work include:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Physics Problems
  • Nonlinear Differential Equations Analysis
  • Advanced Harmonic Analysis Research
  • Advanced Mathematical Modeling in Engineering
  • Advanced mathematical theories
  • Fractional Differential Equations Solutions

Recent publications highlight their engagement with fractional diffusion and nonlinear differential equations. These papers are:

  • A note on quasilinear equations with fractional diffusion (2020, Mathematics in Engineering)
  • On the KPZ equation with fractional diffusion: Global regularity and existence results (2022, Journal of Differential Equations)
  • A note on the Fujita exponent in fractional heat equation involving the Hardy potential (2020, Mathematics in Engineering)
  • Fractional KPZ equations with critical growth in the gradient respect to Hardy potential (2020, Nonlinear Analysis)
  • Corrigendum: Towards a deterministic KPZ equation with fractional diffusion: the stationary problem (2018 Nonlinearity 31 1260) (2020, Nonlinearity)

Frequent coauthors collaborating with Ireneo Peral include:

  • Boumediene Abdellaoui
  • Ana Primo
  • Fernando Soria
  • Pablo Ochoa
  • Pedro Henrique Hernandes Argentina

Common venues for publishing their research consist of:

  • Mathematics in Engineering
  • Journal of Differential Equations
  • Nonlinear Analysis
  • Nonlinearity
  • arXiv (Cornell University)

Best Publications

  • On W1,p estimates for elliptic equations in divergence form

    Luis A. Caffarelli;I. Peral

  • Multiplicity Results for Some Nonlinear Elliptic Equations

    Antonio Ambrosetti;Jesus Garcia Azorero;Ireneo Peral

  • Perturbation of Δu+u(N+2)/(N−2)=0, the Scalar Curvature Problem in RN, and Related Topics

    A Ambrosetti;J Garcia Azorero;I Peral

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

    Tommaso Leonori;Ireneo Peral;Ana Primo;Fernando Soria

  • On the stability or instability of the singular solution of the semilinear heat equation with exponential reaction term

    I. Peral;J. L. Vazquez

  • Existence and multiplicity of nontrivial solutions in semilinear critical problems of fourth order

    Unknown

  • Some remarks on elliptic problems with critical growth in the gradient

    Boumediene Abdellaoui;Andrea Dall’Aglio;Ireneo Peral

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

    Boumediene Abdellaoui;Ireneo Peral

  • A Dirichlet problem involving critical exponents

    Lucio Boccardo;Miguel Escobedo;Ireneo Peral;Ireneo Peral

  • Existence and nonexistence results for quasilinear elliptic equations involving the p-laplacian

    Boumediene Abdellaoui;Veronica Felli;Ireneo Peral

  • A convex-concave problem with a nonlinear boundary condition

    J. Garcia-Azorero;I. Peral;J.D. Rossi

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

    Serena Dipierro;Serena Dipierro;Luigi Montoro;Ireneo Peral;Berardino Sciunzi

  • Semilinear problems for the fractional laplacian with a singular nonlinearity

    Begoña Barrios;Ida De Bonis;María Medina;Ireneo Peral

  • Some improved Caffarelli-Kohn-Nirenberg inequalities

    B. Abdellaoui;E. Colorado;I. Peral

  • Semilinear elliptic problems with mixed Dirichlet–Neumann boundary conditions

    E. Colorado;I. Peral

  • A Widder's type theorem for the heat equation with nonlocal diffusion

    Begoña Barrios;Ireneo Peral;Fernando Soria;Enrico Valdinoci

  • Elliptic Variational Problems in RN with Critical Growth

    A. Ambrosetti;J.Garcia Azorero;I. Peral

  • Some remarks on the solvability of non-local elliptic problems with the Hardy potential

    B. Barrios;M. Medina;I. Peral

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

    Boumediene Abdellaoui;Veronica Felli;Ireneo Peral

  • The effect of the Hardy potential in some Calderón-Zygmund properties for the fractional Laplacian

    Boumediene Abdellaoui;María Medina;Ireneo Peral;Ana Primo

  • Some results for semilinear elliptic equations with critical potential

    B. Abdellaoui;I. Peral

  • The Neumann problem for the ∞∞-Laplacian and the Monge–Kantorovich mass transfer problem

    J. García-Azorero;J.J. Manfredi;I. Peral;J.D. Rossi

Frequent Co-Authors

Pedro J. Torres
Pedro J. Torres University of Granada
Enrico Valdinoci
Enrico Valdinoci University of Western Australia
Julio D. Rossi
Julio D. Rossi University of Buenos Aires
Lucio Boccardo
Lucio Boccardo Sapienza University of Rome
Filippo Gazzola
Filippo Gazzola Polytechnic University of Milan
Juan Luis Vázquez
Juan Luis Vázquez Autonomous University of Madrid
François Murat
François Murat Sorbonne University
Andrea Malchiodi
Andrea Malchiodi Scuola Normale Superiore di Pisa
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin

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