2013 - Fellow of the American Academy of Arts and Sciences
2013 - Fellow of the American Mathematical Society
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 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.
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.
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.
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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)
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)
On the method of moving planes and the sliding method
H. Berestycki;L. Nirenberg.
Boletim Da Sociedade Brasileira De Matematica (1991)
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)
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)
Front propagation in periodic excitable media
Henri Berestycki;François Hamel;François Hamel.
Communications on Pure and Applied Mathematics (2002)
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)
A perturbation method in critical point theory and applications
Abbas Bahri;Henri Berestycki.
Transactions of the American Mathematical Society (1981)
Analysis of the periodically fragmented environment model: I--species persistence.
Henri Berestycki;François Hamel;Lionel Roques.
Journal of Mathematical Biology (2005)
Superlinear indefinite elliptic problems and nonlinear Liouville theorems
Henri Berestycki;I. Capuzzo Dolcetta;Louis Nirenberg.
Topological Methods in Nonlinear Analysis (1994)
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