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Mathematics
Spain
2026

D-Index & Metrics

Mathematics

D-Index
75
Citations
23571
World Ranking
201
National Ranking
2

Juan Luis Vázquez 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 Juan Luis Vázquez 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: 357 publications — 91st percentile

91% of scientists in this discipline score the same or lower.

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

Juan Luis Vázquez 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 Juan Luis Vázquez 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: 75 D-Index — 95th percentile

95% of scientists in this discipline score the same or lower.

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

Research.com Recognitions

  • 2026 - Research.com Mathematics in Spain Leader Award
  • 2025 - Research.com Mathematics in Spain Leader Award
  • 2022 - Research.com Mathematics in Spain Leader Award
  • 2016 - Member of the European Academy of Sciences
  • 2013 - Fellow of the American Mathematical Society

Overview

Juan Luis Vázquez is affiliated with the Autonomous University of Madrid in Spain. Their research spans various fields primarily centered on Mathematics and Computer Science, with a strong emphasis on applied and computational theory within mathematics.

The main fields of study connected to their work include:

  • Mathematics
  • Computer Science

Within these fields, their subfields of focus cover:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Modeling and Simulation
  • Numerical Analysis

The primary topics of their work involve:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Nonlinear Differential Equations Analysis
  • Advanced Mathematical Physics Problems
  • Differential Equations and Numerical Methods
  • Mathematical Biology Tumor Growth
  • Numerical methods in inverse problems

This researcher has published extensively, with notable recent papers including:

  • "Characterisation of homogeneous fractional Sobolev spaces" (2021) published in Institutional Research Information System University of Ferrara (University of Ferrara)
  • "The evolution fractional p-Laplacian equation in ℝN. Fundamental solution and asymptotic behaviour" (2020) published in Nonlinear Analysis
  • "Anisotropic -Laplacian Evolution of Fast Diffusion Type" (2021) published in Advanced Nonlinear Studies
  • "Singular boundary behaviour and large solutions for fractional elliptic equations" (2022) published in Journal of the London Mathematical Society
  • "Galileo High Accuracy Service (HAS) Algorithm and Receiver Development and Testing" (2022) published in Proceedings of the Satellite Division's International Technical Meeting

Frequent co-authors in their work include:

  • David Gómez-Castro
  • Bruno Volzone
  • Hardy Chan
  • Félix del Teso
  • Filomena Feo

Their research has appeared regularly in specific venues, with multiple publications in:

  • arXiv (Cornell University)
  • Nonlinear Analysis
  • Calculus of Variations and Partial Differential Equations
  • Advanced Nonlinear Studies
  • DOAJ (DOAJ: Directory of Open Access Journals)

Recognition within the scientific community includes:

  • Member of the European Academy of Sciences (2016)
  • Fellow of the American Mathematical Society (2013)

Best Publications

  • The Porous Medium Equation: Mathematical Theory

    Juan Luis Vázquez

  • A Strong Maximum Principle for some quasilinear elliptic equations

    J. L. Vázquez

  • An $L^1$ -theory of existence and uniqueness of solutions of nonlinear elliptic equations

    Philippe Bénilan;Lucio Boccardo;Thierry Gallouët;Ron Gariepy

  • The Porous Medium Equation

    Juan Luis Vazquez

  • Blow-up solutions of some nonlinear elliptic problems

    Haim Brezis;Juan Luis Vázquez

  • The problem of blow-up in nonlinear parabolic equations

    Victor A. Galaktionov;Juan-Luis Vázquez

  • The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential

    Juan Luis Vazquez;Enrike Zuazua

  • Smoothing and decay estimates for nonlinear diffusion equations : equations of porous medium type

    Juan Luis Vázquez

  • Smoothing and Decay Estimates for Nonlinear Diffusion Equations

    Juan Luis Vázquez

  • Continuation of blowup solutions of nonlinear heat equations in several space dimensions

    Victor A. Galaktionov;Juan L. Vazquez

  • Nonlinear Porous Medium Flow with Fractional Potential Pressure

    Luis Caffarelli;Juan Luis Vazquez

  • On the equation of turbulent filtration in one-dimensional porous media

    J R Esteban;J L Vazquez

  • A fractional porous medium equation

    Arturo de Pablo;Fernando Quirós;Ana Rodríguez;Juan Luis Vázquez

  • Fundamental Solutions and Asymptotic Behaviour for the $p$-Laplacian Equation

    Shoshana Kamin;Juan Luis Vázquez

  • A General Fractional Porous Medium Equation

    Arturo de Pablo;Fernando Quirós;Ana Rodríguez;Juan Luis Vázquez

  • Existence, uniqueness and asymptotic behaviour for fractional porous medium equations on bounded domains

    Matteo Bonforte;Yannick Sire;Juan Luis Vázquez

  • Nonlinear Diffusion with Fractional Laplacian Operators

    Juan Luis Vázquez

  • Recent progress in the theory of Nonlinear Diffusion with Fractional Laplacian Operators

    Juan Luis Vazquez

  • An Introduction to the Mathematical Theory of the Porous Medium Equation

    Juan Luis Vazquez

  • Asymptotic behaviour for the porous medium equation posed in the whole space

    Juan Luis Vázquez

Frequent Co-Authors

Victor A. Galaktionov
Victor A. Galaktionov University of Bath
José A. Carrillo
José A. Carrillo University of Oxford
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Grigory Isaakovich Barenblatt
Grigory Isaakovich Barenblatt University of California, Berkeley
Michael Winkler
Michael Winkler University of Paderborn
Jesús Ildefonso Díaz Díaz
Jesús Ildefonso Díaz Díaz Complutense University of Madrid
Lambertus A. Peletier
Lambertus A. Peletier Leiden University
Jean Dolbeault
Jean Dolbeault Paris Dauphine University
Laurent Veron
Laurent Veron François Rabelais University

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