World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
90
Citations
50898
World Ranking
71
National Ranking
45

Haim Brezis 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 Haim Brezis 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: 287 publications — 84th percentile

84% of scientists in this discipline score the same or lower.

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

Haim Brezis 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 Haim Brezis 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: 90 D-Index — 98th percentile

98% 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

  • 2003 - Member of the National Academy of Sciences
  • 1994 - Fellow of the American Academy of Arts and Sciences
  • 1989 - Member of Academia Europaea
  • 1988 - Academie des sciences, France
  • 1985 - Ampère Prize (Prix Ampère de l’Électricité de France), French Academy of Sciences

Overview

Haim Brezis was affiliated with Rutgers, The State University of New Jersey in the United States. Their research spanned several fields and subfields within mathematics and computer science, focusing extensively on applied and theoretical aspects.

The main fields of study covered by Haim Brezis included:

  • Mathematics
  • Computer Science

Within these fields, their work touched on multiple subfields:

  • Applied Mathematics
  • Computational Theory and Mathematics
  • Mathematical Physics
  • Geometry and Topology
  • Mechanics of Materials

The primary topics of research included:

  • Nonlinear Partial Differential Equations
  • Advanced Mathematical Modeling in Engineering
  • Point processes and geometric inequalities
  • Advanced Harmonic Analysis Research
  • Geometric Analysis and Curvature Flows
  • Advanced Differential Equations and Dynamical Systems
  • Differential Equations and Boundary Problems

Haim Brezis contributed to the academic community with multiple publications, notable among which were:

  • "A surprising formula for Sobolev norms," 2021, Proceedings of the National Academy of Sciences
  • "Sobolev spaces revisited," 2022, Rendiconti Lincei Matematica e Applicazioni
  • "Families of functionals representing Sobolev norms," 2024, Analysis & PDE
  • "A sharp relative isoperimetric inequality for the square," 2021, Comptes Rendus Mathématique
  • "Some of my favorite open problems," 2023, Rendiconti Lincei Matematica e Applicazioni

Several frequent coauthors collaborated with Haim Brezis over the course of their career, including:

  • Petru Mironescu
  • Jean Van Schaftingen
  • Po-Lam Yung
  • Andreas Seeger
  • Yanyan Li

Publications appeared regularly in a set of recognized venues:

  • Rendiconti Lincei Matematica e Applicazioni
  • arXiv (Cornell University)
  • Proceedings of the National Academy of Sciences
  • Analysis & PDE
  • Comptes Rendus Mathématique

Haim Brezis also authored books, including a publication under the Progress in nonlinear differential equations and their applications series titled Sobolev Maps to the Circle (2021).

Throughout their career, Haim Brezis received several professional honors:

  • Member of the National Academy of Sciences (2003)
  • Fellow of the American Academy of Arts and Sciences (1994)
  • Member of Academia Europaea (1989)
  • Academie des sciences, France (1988)
  • Ampère Prize (Prix Ampère de l'Électricité de France), French Academy of Sciences (1985)

Best Publications

  • Functional Analysis, Sobolev Spaces and Partial Differential Equations

    Haim Brezis

  • Opérateurs maximaux monotones et semi-groupes de contractions dans les espaces de Hilbert

    Haim Brezis

  • Positive solutions of nonlinear elliptic equations involving critical sobolev exponents

    Haïm Brezis;Louis Nirenberg

  • A relation between pointwise convergence of functions and convergence of functionals

    Haïm Brezis;Elliott Lieb;Elliott Lieb

  • Analyse fonctionnelle : Théorie et applications

    H. Brézis

  • Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

    Antonio Ambrosetti;Haim Brezis;Giovanna Cerami

  • Ginzburg-Landau Vortices

    Haïm Brezis;Tatsien Li

  • Équations et inéquations non linéaires dans les espaces vectoriels en dualité

    Haïm Brézis

  • Uniform estimates and blow–up behavior for solutions of −δ(u)=v(x)eu in two dimensions

    Haïm Brezis;Frank Merle

  • Semi-linear second-order elliptic equations in L1

    Haim Brezis;Walter A. Strauss

  • Blow-up solutions of some nonlinear elliptic problems

    Haim Brezis;Juan Luis Vázquez

  • A note on limiting cases of sobolev embeddings and convolution inequalities

    Haim Brezis;Stephen Wainger

  • Nonlinear Schrödinger evolution equations

    Haim Brezis;T. Gallouet

  • Remarks on sublinear elliptic equations

    H Brezis;L Oswald

  • Harmonic maps with defects

    Ha " i"m Brezis;Jean-Michel Coron;Elliott H. Lieb

  • Monotonicity Methods in Hilbert Spaces and Some Applications to Nonlinear Partial Differential Equations

    Haim Brezis

  • Another look at Sobolev spaces

    Jean Bourgain;Haïm Brezis;Petru Mironescu

  • Remarks on finding critical points

    Haim Brezis;Louis Nirenberg

  • Remarks on the Euler equation

    J.P Bourguignon;H Brezis

  • Sublinear elliptic equations in ℝn

    Haïm Brezis;Shoshana Kamin

Frequent Co-Authors

Jean Bourgain
Jean Bourgain Institute for Advanced Study
Felix E. Browder
Felix E. Browder University of Chicago
Louis Nirenberg
Louis Nirenberg Courant Institute of Mathematical Sciences
Jean-Michel Coron
Jean-Michel Coron Sorbonne University
Elliott H. Lieb
Elliott H. Lieb Princeton University
Michael G. Crandall
Michael G. Crandall University of California, Santa Barbara
YanYan Li
YanYan Li Rutgers, The State University of New Jersey
Avner Friedman
Avner Friedman The Ohio State University
Bernard D. Coleman
Bernard D. Coleman Rutgers, The State University of New Jersey
Luigi Ambrosio
Luigi Ambrosio National Research Council (CNR)

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