World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
37
Citations
7958
World Ranking
2449
National Ranking
43

Xavier Cabré 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 Xavier Cabré 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: 86 publications — 5th percentile

5% of scientists in this discipline score the same or lower.

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

Xavier Cabré 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 Xavier Cabré 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: 37 D-Index — 33rd percentile

33% 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

  • 2013 - Fellow of the American Mathematical Society

Overview

Xavier Cabré is affiliated with the Universitat Politècnica de Catalunya in Spain. Their research spans multiple areas within mathematics and computer science, with a particular focus on applied mathematics and computational theory.

The main fields of study for Xavier Cabré include:

  • Mathematics
  • Computer Science

The subfields of study contributing to their work are:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Numerical Analysis
  • Control and Systems Engineering

The research topics frequently covered involve:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Geometric Analysis and Curvature Flows
  • Numerical methods in inverse problems
  • Differential Equations and Numerical Methods
  • Nonlinear Differential Equations Analysis
  • Advanced Harmonic Analysis Research

Notable recent publications by Xavier Cabré include:

  • The Bernstein Technique for Integro-Differential Equations, 2022, Archive for Rational Mechanics and Analysis
  • Calibrations and null-Lagrangians for nonlocal perimeters and an application to the viscosity theory, 2020, Annali di Matematica Pura ed Applicata (1923 -)
  • Universal Hardy-Sobolev inequalities on hypersurfaces of Euclidean space, 2021, Communications in Contemporary Mathematics
  • Optimal regularity of stable solutions to nonlinear equations involving the p-Laplacian, 2020, Advances in Calculus of Variations
  • Universal Hardy-Sobolev inequalities on hypersurfaces of Euclidean space, 2022, UPCommons (Polytechnic University of Catalonia)

Frequent co-authors collaborating with Xavier Cabré include:

  • Gyula Csató
  • Pietro Miraglio
  • Albert Mas Blesa
  • Iñigo U. Erneta
  • Juan-Carlos Felipe-Navarro

Common venues for their publications are:

  • arXiv (Cornell University)
  • Advances in Calculus of Variations
  • UPCommons (Polytechnic University of Catalonia)
  • Archive for Rational Mechanics and Analysis
  • Annali di Matematica Pura ed Applicata (1923 -)

Xavier Cabré was recognized as a Fellow of the American Mathematical Society in 2013.

Best Publications

  • Fully Nonlinear Elliptic Equations

    Luis A. Caffarelli;Xavier Cabré

  • Positive solutions of nonlinear problems involving the square root of the Laplacian

    Xavier Cabré;Jinggang Tan

  • Nonlinear equations for fractional Laplacians, I: Regularity, maximum principles, and Hamiltonian estimates

    Xavier Cabré;Yannick Sire

  • The parameterization method for invariant manifolds I: manifolds associated to non-resonant subspaces

    Xavier Cabre;Ernest Fontich;Rafael De La Llave

  • The parameterization method for invariant manifolds III: overview and applications

    Xavier Cabré;Ernest Fontich;Rafael de la Llave

  • Layer solutions in a half-space for boundary reactions

    Xavier Cabré;Joan Solà-Morales

  • Some simple nonlinear PDE's without solutions

    Haïm Brezis;Xavier Cabré

  • Nonlinear equations for fractional Laplacians II: Existence, uniqueness, and qualitative properties of solutions

    Xavier Cabré;Yannick Sire;Yannick Sire

  • On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property

    Giovanni Alberti;Luigi Ambrosio;Xavier Cabré

  • The parameterization method for invariant manifolds II: regularity with respect to parameters

    Xavier Cabre;Ernest Fontich;Rafael De La Llave

  • The Influence of Fractional Diffusion in Fisher-KPP Equations

    Xavier Cabré;Jean-Michel Roquejoffre

  • Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier

    Xavier Cabré;Yvan Martel

  • On the alexandroff-bakelman-pucci estimate and the reversed hölder inequality for solutions of elliptic and parabolic equations

    Xavier Cabré

  • Regularity of radial minimizers and extremal solutions of semilinear elliptic equations

    Xavier Cabré;Xavier Cabré;Antonio Capella

  • ENERGY ESTIMATES AND 1-D SYMMETRY FOR NONLINEAR EQUATIONS INVOLVING THE HALF-LAPLACIAN

    Xavier Cabré;Eleonora Cinti

  • Sobolev and isoperimetric inequalities with monomial weights

    Xavier Cabré;Xavier Cabré;Xavier Ros-Oton

  • Regularity of minimizers of semilinear elliptic problems up to dimension 4

    Xavier Cabré

  • Sharp energy estimates for nonlinear fractional diffusion equations

    Xavier Cabré;Eleonora Cinti

  • Sharp isoperimetric inequalities via the ABP method

    Xavier Cabré;Xavier Ros-Oton;Joaquim Serra

  • Saddle-shaped solutions of bistable diffusion equations in all of ℝ2m

    Xavier Cabré;Joana Terra

  • Weak Eigenfunctions for the Linearization of Extremal Elliptic Problems

    Xavier Cabré;Yvan Martel

  • Regularity of minimizers of semilinear elliptic problems up to dimension four

    Xavier Cabre

Frequent Co-Authors

Tobias Weth
Tobias Weth Goethe University Frankfurt
Luis A. Caffarelli
Luis A. Caffarelli The University of Texas at Austin
Jean-Michel Roquejoffre
Jean-Michel Roquejoffre Toulouse Mathematics Institute
Rafael de la Llave
Rafael de la Llave Georgia Institute of Technology
Yvan Martel
Yvan Martel École Polytechnique
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)
Haim Brezis
Haim Brezis Rutgers, The State University of New Jersey
Joel Spruck
Joel Spruck Johns Hopkins University
Juan Soler
Juan Soler University of Granada

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