Henri Berestycki
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French mathematician
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Mathematics
Why Is Henri Berestycki Influential?
(Suggest an Edit or Addition)According to Wikipedia, Henri Berestycki is a French mathematician who obtained his PhD from Université Paris VI – Pierre and Marie Curie University in 1975. His Dissertation was titled Contributions à l'étude des problèmes elliptiques non linéaires, and his doctoral advisor was Haïm Brezis. He was an L.E. Dickson Instructor in Mathematics at the University of Chicago from 1975–77, after which he returned to France to continue his research. He has made many contributions in nonlinear analysis, ranging from nonlinear elliptic equations, hamiltonian systems, spectral theory of elliptic operators, and with applications to the description of mathematical modelling of fluid mechanics and combustion. His current research interests include the mathematical modelling of financial markets, mathematical models in biology and especially in ecology, and modelling in social sciences . For these latter topics, he obtained an ERC Advanced grant in 2012.
Henri Berestycki's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Nonlinear scalar field equations, I existence of a ground state (1983) (2339)
- On the method of moving planes and the sliding method (1991) (646)
- Nonlinear scalar field equations, II existence of infinitely many solutions (1983) (642)
- The principal eigenvalue and maximum principle for second‐order elliptic operators in general domains (1994) (628)
- Front propagation in periodic excitable media (2002) (384)
- Travelling fronts in cylinders (1992) (330)
- Further qualitative properties for ellip-tic equations in unbounded domains (1997) (317)
- Analysis of the periodically fragmented environment model: II—biological invasions and pulsating travelling fronts (2005) (303)
- Analysis of the periodically fragmented environment model : I – Species persistence (2005) (281)
- A perturbation method in critical point theory and applications (1981) (271)
- Superlinear indefinite elliptic problems and nonlinear Liouville theorems (1994) (263)
- The non-local Fisher–KPP equation: travelling waves and steady states (2009) (254)
- Variational methods for indefinite superlinear homogeneous elliptic problems (1995) (234)
- Monotonicity for elliptic equations in unbounded Lipschitz domains (1997) (234)
- Traveling Wave Solutions to Combustion Models and Their Singular Limits (1985) (219)
- The speed of propagation for KPP type problems. II (2010) (219)
- Computing the implied volatility in stochastic volatility models (2004) (206)
- Can a Species Keep Pace with a Shifting Climate? (2008) (200)
- Asymptotics and calibration of local volatility models (2002) (200)
- Self-organization versus top-down planning in the evolution of a city (2013) (164)
- Generalized Transition Waves and Their Properties (2010) (157)
- One-dimensional symmetry of bounded entire solutions of some elliptic equations (2000) (153)
- Inequalities for second-order elliptic equations with applications to unbounded domains I (1996) (152)
- Asymptotic spreading in heterogeneous diffusive excitable media (2008) (142)
- Multi-dimensional travelling-wave solutions of a flame propagation model (1990) (139)
- Generalized travelling waves for reaction-diffusion equations (2006) (136)
- Liouville-type results for semilinear elliptic equations in unbounded domains (2007) (134)
- Some Qualitative Properties of Solutions of Semilinear Elliptic Equations in Cylindrical Domains (1990) (133)
- Elliptic Eigenvalue Problems with Large Drift and Applications to Nonlinear Propagation Phenomena (2005) (133)
- On some nonlinear Sturm-Liouville problems (1977) (117)
- Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations (1988) (116)
- On a free boundary problem arising in plasma physics (1980) (114)
- Bistable traveling waves around an obstacle (2009) (113)
- Reaction-diffusion equations for population dynamics with forced speed I - The case of the whole space (2008) (105)
- The Influence of Advection on the Propagation of Fronts in Reaction-Diffusion Equations (2002) (95)
- Double Resonance in Semilinear Elliptic Problems (1981) (94)
- Generalizations and Properties of the Principal Eigenvalue of Elliptic Operators in Unbounded Domains (2010) (93)
- The influence of a line with fast diffusion on Fisher-KPP propagation (2012) (84)
- Some applications of the method of super and subsolutions (1980) (83)
- On the definition and the properties of the principal eigenvalue of some nonlocal operators (2015) (78)
- Existence of Forced Oscillations for Some Nonlinear Differential Equations. (1984) (77)
- Forced vibrations of superquadratic Hamiltonian systems (1984) (75)
- Persistence criteria for populations with non-local dispersion (2014) (73)
- Solutions of Semilinear Elliptic Equations in with Conical&Shaped Level Sets (2000) (72)
- Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces (1985) (70)
- Existence and Bifurcation of Solutions for an Elliptic Degenerate Problem (1997) (70)
- On Phase-Separation Models: Asymptotics and Qualitative Properties (2013) (67)
- On Entire Solutions of an Elliptic System Modeling Phase Separations (2012) (65)
- Forced waves of the Fisher–KPP equation in a shifting environment (2018) (64)
- Self-organised critical hot spots of criminal activity (2010) (62)
- Reaction-diffusionequations for population dynamics with forced speed II -cylindrical-type domains (2009) (62)
- The periodic patch model for population dynamics with fractional diffusion (2010) (61)
- Traveling Wave Solutions in a Reaction-Diffusion Model for Criminal Activity (2013) (52)
- On the chain rule for the divergence of BV-like vector fields: applications, partial results, open problems (2007) (49)
- Epidemiological modelling of the 2005 French riots: a spreading wave and the role of contagion (2017) (48)
- A semi-linear elliptic equation in a strip arising in a two-dimensional flame propagation model. (1989) (48)
- A population facing climate change: joint influences of Allee effects and environmental boundary geometry (2008) (46)
- Stability of travelling fronts in a model for flame propagation part I: Linear analysis (1992) (46)
- Spreading speeds for one-dimensional monostable reaction-diffusion equations (2016) (45)
- Front blocking and propagation in cylinders with varying cross section (2015) (45)
- Quenching and Propagation in KPP Reaction-Diffusion Equations with a Heat Loss (2005) (44)
- The effect of a line with nonlocal diffusion on Fisher-KPP propagation (2015) (41)
- Maximum Principle and generalized principal eigenvalue for degenerate elliptic operators (2013) (41)
- MATHEMATICS AND COMPLEXITY IN LIFE AND HUMAN SCIENCES (2009) (40)
- Can climate change lead to gap formation (2014) (40)
- The Effect of Climate Shift on a Species Submitted to Dispersion, Evolution, Growth, and Nonlocal Competition (2015) (40)
- The explosion problem in a flow (2009) (40)
- Fisher–KPP propagation in the presence of a line: further effects (2013) (39)
- Existence of Symmetric and Asymmetric Spikes for a Crime Hotspot Model (2013) (34)
- Analysis of the periodically fragmented environment model : I - Influence of periodic heterogeneous environment on species persistence. (2005) (34)
- Perspectives in nonlinear partial differential equations : in honor of Haïm Brezis (2007) (33)
- A model of riots dynamics: Shocks, diffusion and thresholds (2015) (33)
- Asymptotic Spreading for General Heterogeneous Fisher-KPP Type Equations (2015) (33)
- Existence of Stationary States in Nonlinear Scalar Field Equations (1980) (31)
- The Shape of Expansion Induced by a Line with Fast Diffusion in Fisher-KPP Equations (2014) (28)
- Some properties of monotone rearrangement with applications to elliptic equations in cylinders (2004) (28)
- Non-planar fronts in Boussinesq reactive flows (2004) (27)
- Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions (1989) (27)
- Propagation in a non local reaction diffusion equation with spatial and genetic trait structure (2014) (26)
- Propagation of Epidemics Along Lines with Fast Diffusion (2020) (25)
- Nonlinear PDE's in condensed matter and reactive flows (2002) (25)
- Traveling fronts guided by the environment for reaction-diffusion equations (2012) (24)
- Flame extinction by periodic flow field (1991) (23)
- An inverse parabolic problem arising in finance (2000) (22)
- Some families of solutions of the Vlasov-Poisson system (1988) (22)
- A parsimonious approach for spatial transmission and heterogeneity in the COVID-19 propagation (2020) (22)
- On singular perturbation problems with robin boundary condition (2003) (20)
- On least Energy Solutions to A Semilinear Elliptic Equation in A Strip (2010) (19)
- Mathematical Investigation of the Cold Boundary Difficulty in Flame Propagation Theory (1991) (18)
- Sharp existence results for a class of semilinear elliptic problems (1981) (17)
- Speed-up of reaction-diffusion fronts by a line of fast diffusion (2013) (15)
- Fronts and invasions in general domains (2006) (15)
- Disentangling collective trends from local dynamics (2009) (15)
- Non-existence of travelling front solutions of some bistable reaction-diffusion equations (2000) (13)
- A non-local bistable reaction-diffusion equation with a gap (2016) (13)
- Gradient Estimates for Elliptic Regularizations of Semilinear Parabolic and Degenerate Elliptic Equations (2005) (12)
- Eigenvalue problems for some nonlinear Wheeler-Dewitt operators (1993) (12)
- On Phase-Separation Models: Asymptotics and Qualitative Properties (2012) (12)
- Traveling-wave solutions to reaction-diffusion systems modeling combustion (1982) (12)
- Nonlinear dynamics and metastability in a Burgers type equation (for upward propagating flames) (1995) (11)
- Predators–prey models with competition, Part I: Existence, bifurcation and qualitative properties (2017) (11)
- A non-local free boundary problem arising in a theory of financial bubbles (2013) (11)
- Travelling waves, spreading and extinction for Fisher–KPP propagation driven by a line with fast diffusion (2016) (11)
- Recent contributions to nonlinear partial differential equations (1981) (10)
- ERRATUM: Self-organization versus top-down planning in the evolution of a city (2013) (10)
- A numerical study of some questions in vortex rings theory (1984) (10)
- Modeling the Spatio-temporal Dynamics of the Pine Processionary Moth (2015) (9)
- Generalized principal eigenvalues for heterogeneous road–field systems (2018) (8)
- Propagation speed for reaction–diffusion equations in general domains (2004) (8)
- A Nonlinear Elliptic Problem Describing the Propagation of a Curved Premixed Flame (1988) (7)
- Periodic cycles of social outbursts of activity (2018) (7)
- Influence of a road on a population in an ecological niche facing climate change (2019) (7)
- A semi-elliptic system arising in the theory of superconductivity (1994) (7)
- A nonexistence theorem for an equation with critical Sobolev exponent in the half space (1992) (6)
- A parsimonious model for spatial transmission and heterogeneity in the COVID-19 propagation (2020) (6)
- Predator-Prey Models with Competition: The Emergence of Territoriality (2019) (6)
- The effects of heterogeneity and stochastic variability of behaviours on the intrinsic dynamics of epidemics (2021) (5)
- Bubbles in assets with finite life (2018) (5)
- On a long-standing conjecture of E. De Giorgi: symmetry in 3D for general nonlinearities and a local minimality property (2009) (5)
- Modeling propagation of epidemics, social unrest and other collective behaviors (2020) (5)
- Non-local reaction-diffusion equations with a barrier (2013) (4)
- The existence and stability of spike solutions for a chemotax is system modeling crime pattern formation (2019) (3)
- Generalized traveling waves on complete Riemannian manifolds (2010) (2)
- The Shape of Expansion Induced by a Line with Fast Diffusion in Fisher-KPP Equations (2016) (2)
- Plateaus, rebounds and the effects of individual behaviours in epidemics (2021) (2)
- Predator-prey models with competition, Part II: uniform regularity estimates (2019) (2)
- Modeling the propagation of riots, collective behaviors and epidemics (2021) (2)
- Mathematical Model of Stagnation Point Flames (1998) (2)
- Lectures on wave turbulence and intermittency (2002) (2)
- Predator-prey models with competition, Part Ⅲ: Classification of stationary solutions (2019) (2)
- 2D modelling of atmospheric dispersion in the near field at the site of La Hague (2002) (1)
- Nonlocal heterogeneous KPP equations in R (2014) (1)
- Analysis of a model for the dynamics of riots (2015) (1)
- Nonlocal heterogeneous KPP equations in $\R^N$ (2014) (1)
- Epidemic modeling with heterogeneity and social diffusion (2023) (1)
- Coupled reaction-diffusion equations on adjacent domains (2019) (1)
- PREDATORS-PREY MODELS WITH COMPETITION: EXISTENCE, BIFURCATION AND QUALITATIVE PROPERTIES (2016) (1)
- ON SPIKES ON LINES FOR A NEUMANN SUPERLINEAR AMBROSETTI-PRODI TYPE PROBLEM (2020) (0)
- Louis Nirenberg (1925–2020) (2021) (0)
- Traveling fronts in a homogeneous medium (2011) (0)
- Epidemiological modelling of the 2005 French riots: a spreading wave and the role of contagion (2018) (0)
- Front blocking and propagation in cylinders with varying cross section (2016) (0)
- Impact of climate change on biological invasions and population distributions (2013) (0)
- Persistence criteria for populations with non-local dispersion (2015) (0)
- Felix Browder (1927-2016) (2018) (0)
- Symposium on Partial Differential Equations to celebrate the Seventy-Fifth Birthday of James Serrin (2002) (0)
- Periodic cycles of rioting activity (2015) (0)
- Reaction–diffusion equations in the half-space (2020) (0)
- Bubbles in assets with finite life (2019) (0)
- The influence of a line with fast diffusion on Fisher-KPP propagation (2012) (0)
- Variational Methods: Proceedings of a Conference Paris, June 1988 (2012) (0)
- The steady states of strong-KPP reactions in general domains (2022) (0)
- The Methods for Simple Equations in General Domains 1 . 1 (2005) (0)
- Caffarelli's approach to a two-phase free boundary problem (2001) (0)
- Other Grants and Activities - Action Soleil Levant (2002) (0)
- Nonlinear Diffusion Problems dedicated to (2019) (0)
- Supplementary material from "A parsimonious approach for spatial transmission and heterogeneity in the COVID-19 propagation" (2020) (0)
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