D-Index & Metrics Best Publications

D-Index & Metrics D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines.

Discipline name D-index D-index (Discipline H-index) only includes papers and citation values for an examined discipline in contrast to General H-index which accounts for publications across all disciplines. Citations Publications World Ranking National Ranking
Mathematics D-index 54 Citations 14,839 122 World Ranking 606 National Ranking 31

Research.com Recognitions

Awards & Achievements

2013 - Fellow of the American Academy of Arts and Sciences

2013 - Fellow of the American Mathematical Society

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Geometry
  • Statistics

Mathematical analysis, Nonlinear system, Bounded function, Uniqueness and Mathematical physics are his primary areas of study. His Quarter period, Boundary value problem and Monotonic function study, which is part of a larger body of work in Mathematical analysis, is frequently linked to Maximum principle, bridging the gap between disciplines. The Boundary value problem study combines topics in areas such as Shear flow, Excitable medium and Partial differential equation.

He combines topics linked to Scalar field with his work on Nonlinear system. His studies deal with areas such as Exponential function and Domain as well as Bounded function. His Uniqueness research integrates issues from Sign, Fragmentation, Statistical physics and Evolution equation.

His most cited work include:

  • Nonlinear scalar field equations, I existence of a ground state (1690 citations)
  • Nonlinear scalar field equations, I existence of a ground state (1690 citations)
  • The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains (566 citations)

What are the main themes of his work throughout his whole career to date?

His primary areas of study are Mathematical analysis, Nonlinear system, Reaction–diffusion system, Uniqueness and Type. His Mathematical analysis study incorporates themes from Plane and Line. Henri Berestycki has included themes like Transformation, Current, Statistical physics and Domain in his Line study.

Henri Berestycki combines subjects such as Classical mechanics and Mathematical physics with his study of Nonlinear system. His Uniqueness research incorporates themes from Space, Monotonic function, Free boundary problem and Obstacle problem. His biological study spans a wide range of topics, including Elliptic operator and Compact space.

He most often published in these fields:

  • Mathematical analysis (64.15%)
  • Nonlinear system (25.79%)
  • Reaction–diffusion system (20.13%)

What were the highlights of his more recent work (between 2016-2021)?

  • Line (13.84%)
  • Competition (3.77%)
  • Predation (3.77%)

In recent papers he was focusing on the following fields of study:

Henri Berestycki mainly investigates Line, Competition, Predation, Constant and Variable. His Line research incorporates elements of Transformation, Current, Plane and Domain. His research integrates issues of Bifurcation and Asymptotic analysis in his study of Competition.

The study incorporates disciplines such as Reaction–diffusion system, Dirichlet boundary condition, Robin boundary condition, Steady state and Dirichlet distribution in addition to Uniqueness. As part of his research on Dirichlet distribution, studies on Boundary value problem and Mathematical analysis are part of the effort. His work in the fields of Space overlaps with other areas such as Type and Extinction.

Between 2016 and 2021, his most popular works were:

  • Forced waves of the Fisher–KPP equation in a shifting environment (38 citations)
  • The effect of climate shift on a species submitted to dispersion, evolution, growth and nonlocal competition (30 citations)
  • Epidemiological modelling of the 2005 French riots: a spreading wave and the role of contagion. (26 citations)

In his most recent research, the most cited papers focused on:

  • Mathematical analysis
  • Geometry
  • Statistics

His primary scientific interests are in Variable, Statistical physics, Geographic proximity, Neighbourhood and Economic geography. Variable is connected with Space, Applied mathematics, Global warming, Dispersion and Harnack's inequality in his study. He interconnects Transformation, Rest and Line in the investigation of issues within Statistical physics.

Among his Geographic proximity studies, there is a synthesis of other scientific areas such as History and Historical Article.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Best Publications

Nonlinear scalar field equations, I existence of a ground state

Henri Berestycki;Henri Berestycki;Pierre-Louis Lions;Pierre-Louis Lions.
Archive for Rational Mechanics and Analysis (1983)

3101 Citations

Nonlinear scalar field equations, II existence of infinitely many solutions

H. Berestycki;H. Berestycki;P. L. Lions;P. L. Lions.
Archive for Rational Mechanics and Analysis (1983)

812 Citations

On the method of moving planes and the sliding method

H. Berestycki;L. Nirenberg.
Boletim Da Sociedade Brasileira De Matematica (1991)

734 Citations

The principal eigenvalue and maximum principle for second-order elliptic operators in general domains

H. Berestycki;L. Nirenberg;S. R. S. Varadhan.
Communications on Pure and Applied Mathematics (1994)

733 Citations

Travelling fronts in cylinders

Henri Berestycki;Henri Berestycki;Henri Berestycki;Louis Nirenberg;Louis Nirenberg;Louis Nirenberg.
Annales De L Institut Henri Poincare-analyse Non Lineaire (1992)

440 Citations

Front propagation in periodic excitable media

Henri Berestycki;François Hamel;François Hamel.
Communications on Pure and Applied Mathematics (2002)

405 Citations

Further qualitative properties for elliptic equations in unbounded domains

Henri Berestycki;Luis Caffarelli;Louis Nirenberg.
Annali Della Scuola Normale Superiore Di Pisa-classe Di Scienze (1997)

348 Citations

A perturbation method in critical point theory and applications

Abbas Bahri;Henri Berestycki.
Transactions of the American Mathematical Society (1981)

338 Citations

Analysis of the periodically fragmented environment model: I--species persistence.

Henri Berestycki;François Hamel;Lionel Roques.
Journal of Mathematical Biology (2005)

334 Citations

Superlinear indefinite elliptic problems and nonlinear Liouville theorems

Henri Berestycki;I. Capuzzo Dolcetta;Louis Nirenberg.
Topological Methods in Nonlinear Analysis (1994)

325 Citations

If you think any of the details on this page are incorrect, let us know.

Contact us

Best Scientists Citing Henri Berestycki

François Hamel

François Hamel

Aix-Marseille University

Publications: 105

Wenxian Shen

Wenxian Shen

Auburn University

Publications: 65

Enrico Valdinoci

Enrico Valdinoci

University of Western Australia

Publications: 49

Juncheng Wei

Juncheng Wei

University of British Columbia

Publications: 45

Zhi-Qiang Wang

Zhi-Qiang Wang

Utah State University

Publications: 40

Vieri Benci

Vieri Benci

University of Pisa

Publications: 38

Yihong Du

Yihong Du

University of New England

Publications: 35

Marco Squassina

Marco Squassina

Catholic University of the Sacred Heart

Publications: 35

Louis Jeanjean

Louis Jeanjean

University of Franche-Comté

Publications: 31

Xavier Cabré

Xavier Cabré

Universitat Politècnica de Catalunya

Publications: 30

Tobias Weth

Tobias Weth

Goethe University Frankfurt

Publications: 28

Wan-Tong Li

Wan-Tong Li

Lanzhou University

Publications: 27

Xiao-Qiang Zhao

Xiao-Qiang Zhao

Memorial University of Newfoundland

Publications: 26

YanYan Li

YanYan Li

Rutgers, The State University of New Jersey

Publications: 25

Benoît Perthame

Benoît Perthame

Sorbonne University

Publications: 25

Junping Shi

Junping Shi

William & Mary

Publications: 22

Trending Scientists

Jon Danielsson

Jon Danielsson

London School of Economics and Political Science

Julio D. Rossi

Julio D. Rossi

University of Buenos Aires

Erik B. Sudderth

Erik B. Sudderth

University of California, Irvine

Nina F. Thornhill

Nina F. Thornhill

Imperial College London

James S. Nowick

James S. Nowick

University of California, Irvine

Willem H. Koppenol

Willem H. Koppenol

ETH Zurich

Jerry Pelletier

Jerry Pelletier

McGill University

Mathieu Denoël

Mathieu Denoël

University of Liège

Michael J. Schurr

Michael J. Schurr

University of Colorado Anschutz Medical Campus

Michela Matteoli

Michela Matteoli

Humanitas University

Peter H. Gilligan

Peter H. Gilligan

University of North Carolina at Chapel Hill

Tamara S. Galloway

Tamara S. Galloway

University of Exeter

João José Cerqueira

João José Cerqueira

University of Minho

Matthias J. Wieser

Matthias J. Wieser

Erasmus University Rotterdam

Tommy Gärling

Tommy Gärling

University of Gothenburg

G. W. Sullivan

G. W. Sullivan

University of Maryland, College Park

Something went wrong. Please try again later.