World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
34
Citations
4667
World Ranking
2917
National Ranking
63

Ireneo Peral publication distribution in Mathematics in 2026

The chart shows the distribution of publications by all Research.com ranked scientists in the field of Mathematics in 2026. The highlighted bar marks where Ireneo Peral sits on this spectrum.

42–46 publications: 3 scientists 47–51 publications: 5 scientists 52–56 publications: 7 scientists 57–61 publications: 20 scientists 62–66 publications: 14 scientists 67–71 publications: 25 scientists 72–76 publications: 19 scientists 77–81 publications: 35 scientists 82–86 publications: 50 scientists 87–91 publications: 60 scientists 92–96 publications: 86 scientists 97–101 publications: 84 scientists 102–106 publications: 83 scientists 107–111 publications: 90 scientists 112–116 publications: 99 scientists 117–121 publications: 90 scientists 122–126 publications: 91 scientists 127–131 publications: 109 scientists 132–136 publications: 110 scientists 137–141 publications: 98 scientists 142–146 publications: 112 scientists 147–151 publications: 102 scientists 152–156 publications: 88 scientists 157–161 publications: 106 scientists 162–166 publications: 83 scientists 167–171 publications: 102 scientists 172–176 publications: 77 scientists 177–181 publications: 81 scientists 182–186 publications: 78 scientists 187–191 publications: 71 scientists 192–196 publications: 92 scientists 197–201 publications: 64 scientists 202–206 publications: 69 scientists 207–211 publications: 64 scientists 212–216 publications: 62 scientists 217–221 publications: 58 scientists 222–226 publications: 53 scientists 227–231 publications: 50 scientists 232–236 publications: 46 scientists 237–241 publications: 46 scientists 242–246 publications: 46 scientists 247–251 publications: 43 scientists 252–256 publications: 29 scientists 257–261 publications: 45 scientists 262–266 publications: 30 scientists 267–271 publications: 33 scientists 272–276 publications: 34 scientists 277–281 publications: 30 scientists 282–286 publications: 31 scientists 287–291 publications: 21 scientists 292–296 publications: 34 scientists 297–301 publications: 26 scientists 302–306 publications: 10 scientists 307–311 publications: 17 scientists 312–316 publications: 23 scientists 317–321 publications: 13 scientists 322–326 publications: 16 scientists 327–331 publications: 26 scientists 332–336 publications: 13 scientists 337–341 publications: 13 scientists 342–346 publications: 16 scientists 347–351 publications: 17 scientists 352–356 publications: 12 scientists 357–361 publications: 18 scientists 362–366 publications: 18 scientists 367–371 publications: 9 scientists 372–376 publications: 11 scientists 377–381 publications: 8 scientists 382–386 publications: 8 scientists 387–391 publications: 9 scientists 392–396 publications: 9 scientists 397–401 publications: 8 scientists 402–406 publications: 11 scientists 407–411 publications: 6 scientists 412–416 publications: 6 scientists 417–421 publications: 9 scientists 422–426 publications: 8 scientists 427–431 publications: 5 scientists 432–436 publications: 8 scientists 437–441 publications: 8 scientists 442–446 publications: 4 scientists 447–451 publications: 4 scientists 452–456 publications: 4 scientists 457–461 publications: 2 scientists 462–466 publications: 2 scientists 467–471 publications: 4 scientists 472–476 publications: 3 scientists 477–481 publications: 3 scientists 482–486 publications: 6 scientists 487–491 publications: 3 scientists 492–496 publications: 5 scientists 497–501 publications: 5 scientists 502–506 publications: 1 scientists 507–511 publications: 6 scientists 512–516 publications: 4 scientists 517–521 publications: 1 scientists 522–526 publications: 3 scientists 527–531 publications: 1 scientists 532–536 publications: 4 scientists 537+ publications: 100 scientists
42 publications 537+

This scientist: 127 publications — 24th percentile

24% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 537 publications or more.

Ireneo Peral D-index placement in Mathematics in 2026

The chart shows the D-index (discipline H-index) distribution of Mathematics scientists ranked by Research.com in 2026. The highlighted bar marks where Ireneo Peral sits on this spectrum.

30 D-Index: 174 scientists 31 D-Index: 151 scientists 32 D-Index: 174 scientists 33 D-Index: 117 scientists 34 D-Index: 136 scientists 35 D-Index: 127 scientists 36 D-Index: 145 scientists 37 D-Index: 153 scientists 38 D-Index: 150 scientists 39 D-Index: 150 scientists 40 D-Index: 138 scientists 41 D-Index: 136 scientists 42 D-Index: 93 scientists 43 D-Index: 108 scientists 44 D-Index: 115 scientists 45 D-Index: 112 scientists 46 D-Index: 103 scientists 47 D-Index: 75 scientists 48 D-Index: 59 scientists 49 D-Index: 67 scientists 50 D-Index: 60 scientists 51 D-Index: 57 scientists 52 D-Index: 59 scientists 53 D-Index: 62 scientists 54 D-Index: 60 scientists 55 D-Index: 50 scientists 56 D-Index: 42 scientists 57 D-Index: 54 scientists 58 D-Index: 50 scientists 59 D-Index: 42 scientists 60 D-Index: 41 scientists 61 D-Index: 35 scientists 62 D-Index: 40 scientists 63 D-Index: 21 scientists 64 D-Index: 31 scientists 65 D-Index: 27 scientists 66 D-Index: 29 scientists 67 D-Index: 19 scientists 68 D-Index: 25 scientists 69 D-Index: 17 scientists 70 D-Index: 18 scientists 71 D-Index: 12 scientists 72 D-Index: 14 scientists 73 D-Index: 13 scientists 74 D-Index: 18 scientists 75 D-Index: 9 scientists 76 D-Index: 11 scientists 77 D-Index: 10 scientists 78 D-Index: 9 scientists 79 D-Index: 16 scientists 80 D-Index: 12 scientists 81 D-Index: 10 scientists 82 D-Index: 5 scientists 83 D-Index: 5 scientists 84 D-Index: 13 scientists 85 D-Index: 6 scientists 86+ D-Index: 99 scientists
30 D-Index 86+

This scientist: 34 D-Index — 21st percentile

21% of scientists in this discipline score the same or lower.

The last bar groups every scientist with 86 D-Index or more.

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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