World's Best Scientists 2026 revealed!

D-Index & Metrics

Mathematics

D-Index
90
Citations
50898
World Ranking
71
National Ranking
44

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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