Edit Profile (opens in new tab) Berestycki, Henri Co-Author Distance Author ID: berestycki.henri Published as: Berestycki, Henri; Berestycki, H. Homepage: http://cams.ehess.fr/henri-berestycki/ External Links: MGP · Wikidata · Google Scholar · dblp · GND · IdRef · theses.fr Documents Indexed: 170 Publications since 1976, including 1 Book and 8 Additional arXiv Preprints 8 Contributions as Editor · 1 Further Contribution Co-Authors: 120 Co-Authors with 165 Joint Publications 4,472 Co-Co-Authors all top 5 Co-Authors 13 single-authored 21 Nirenberg, Louis 20 Rossi, Luca 19 Hamel, François 12 Lions, Pierre-Louis 12 Roquejoffre, Jean-Michel 9 Larrouturou, Bernard 6 Caffarelli, Luis Ángel 6 Sivashinsky, Gregory I. 6 Wei, Juncheng 5 Bahri, Abbas 5 Brézis, Haïm 5 Lasry, Jean-Michel 5 Nadal, Jean-Pierre 5 Ryzhik, Lenya 5 Varadhan, S. R. Srinivasa 4 Capuzzo Dolcetta, Italo 4 Hilhorst, Danielle 4 Kamin, Shoshana 4 Merle, Frank 4 Mimura, Masayasu 4 Nadin, Grégoire 4 Nadirashvili, Nikolai S. 4 Pakdaman, Khashayar 4 Rodriguez, Nancy Y. 4 Roques, Lionel J. 4 Ruf, Bernhard 3 Bonnet, Alexis 3 Busca, Jérôme 3 Esteban, Maria J. 3 Florent, Igor 3 Graham, Cole 3 Kagan, L. 3 Mancini, Giovanni 3 Monneau, Régis 3 Nicolaenko, Basil 3 Pacella, Filomena 3 Peletier, Lambertus Adrianus 3 Scheurer, Bruno 3 Zilio, Alessandro 2 Bellomo, Nicola 2 Bertsch, Michiel 2 Brezzi, Franco 2 Browder, Felix Earl 2 Chapuisat, Guillemette 2 Coron, Jean-Michel 2 Coulon, Anne-Charline 2 Coville, Jerome 2 Guedes de Figueiredo, Djairo 2 Ducasse, Romain 2 Ekeland, Ivar 2 Kiselev, Alexander A. 2 Perthame, Benoît 2 Pomeau, Yves 2 Rabinowitz, Paul Henry 2 Scheinkman, José Alexandre 2 Véron, Laurent 2 Vo, Hoang-Hung 1 Agmon, Shmuel 1 Alfaro, Matthieu 1 Audoly, Basile 1 Bandle, Catherine 1 Barthelemy, Marc 1 Beals, Richard W. 1 Birindelli, Isabeau 1 Bona, Jerry Lloyd 1 Bouhours, Juliette 1 Brighi, Bernard 1 Brillard, Alain 1 Bruggeman, Cameron 1 Cazenave, Thierry 1 Chang, Kung-Ching 1 Chang, Sun-Yung Alice 1 Chanillo, Sagun 1 Chapman, Stephen Jonathan 1 Chipot, Michel 1 Cohen, Amy 1 Constantin, Peter 1 Degond, Pierre 1 Desjardins, Benoît 1 Dias, João-Paulo 1 Diekmann, Odo 1 Efendiev, Messoud 1 Fefferman, Charles Louis 1 Fernández-Cara, Enrique 1 Figueira, Mário S. R. 1 Gallouët, Thierry 1 Glowinski, Roland 1 Grossi, Massimo 1 Jin, Tianling 1 Joulin, Guy 1 Kavian, Otared 1 Kinderlehrer, David 1 Klainerman, Sergiu 1 Kohn, Joseph J. 1 Kohn, Robert Vita 1 Kretzschmar, André 1 Lachand-Robert, Thomas 1 Lax, Peter David 1 Lebowitz, Joel Louis 1 Li, YanYan ...and 37 more Co-Authors all top 5 Serials 18 Comptes Rendus de l’Académie des Sciences. Série I 9 Communications on Pure and Applied Mathematics 7 Archive for Rational Mechanics and Analysis 6 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 6 Networks and Heterogeneous Media 5 Journal of Mathematical Biology 5 Discrete and Continuous Dynamical Systems 4 Journal of Differential Equations 4 Journal of Functional Analysis 3 Nonlinearity 3 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 SIAM Journal on Mathematical Analysis 3 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Communications in Mathematical Physics 2 Journal d’Analyse Mathématique 2 Bulletin of Mathematical Biology 2 Duke Mathematical Journal 2 Communications in Partial Differential Equations 2 Notices of the American Mathematical Society 2 Interfaces and Free Boundaries 2 Journal of the European Mathematical Society (JEMS) 2 Communications in Contemporary Mathematics 2 Progress in Nonlinear Differential Equations and Their Applications 1 Journal of Mathematical Physics 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Boletim da Sociedade Brasileira de Matemática 1 Indiana University Mathematics Journal 1 Journal für die Reine und Angewandte Mathematik 1 Manuscripta Mathematica 1 Mathematische Nachrichten 1 Memoirs of the American Mathematical Society 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 RAIRO. Analyse Numérique 1 Transactions of the American Mathematical Society 1 Journal of the American Mathematical Society 1 European Journal of Applied Mathematics 1 Proceedings of the National Academy of Sciences of the United States of America 1 SIAM Journal on Applied Mathematics 1 Boletim da Sociedade Brasileira de Matemática. Nova Série 1 Topological Methods in Nonlinear Analysis 1 Calculus of Variations and Partial Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Advances in Differential Equations 1 Communications on Applied Nonlinear Analysis 1 Comptes Rendus de l’Académie des Sciences. Série I. Mathématique 1 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Combustion Theory and Modelling 1 Nonlinear Boundary Value Problems 1 Comptes Rendus de l’Académie des Sciences. Série II. Fascicule b. Mécanique 1 Quantitative Finance 1 Advanced Nonlinear Studies 1 Multiscale Modeling & Simulation 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Mathématiques et Sciences Humaines. Mathematics and Social Sciences 1 Contemporary Mathematics 1 NATO ASI Series. Series C. Mathematical and Physical Sciences 1 Mathematics and Financial Economics 1 Discrete and Continuous Dynamical Systems. Series S 1 Nonlinear Analysis. Theory, Methods & Applications 1 Séminaire Laurent Schwartz. EDP et Applications 1 Research Notes in Mathematics (San Francisco) 1 Mathematics in Engineering all top 5 Fields 144 Partial differential equations (35-XX) 27 Biology and other natural sciences (92-XX) 19 Fluid mechanics (76-XX) 18 Classical thermodynamics, heat transfer (80-XX) 17 Ordinary differential equations (34-XX) 13 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 11 Dynamical systems and ergodic theory (37-XX) 10 Global analysis, analysis on manifolds (58-XX) 9 General and overarching topics; collections (00-XX) 8 Operator theory (47-XX) 7 History and biography (01-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 5 Mechanics of particles and systems (70-XX) 3 Integral equations (45-XX) 2 Functional analysis (46-XX) 2 Systems theory; control (93-XX) 1 Algebraic topology (55-XX) 1 Probability theory and stochastic processes (60-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Quantum theory (81-XX) 1 Statistical mechanics, structure of matter (82-XX) 1 Astronomy and astrophysics (85-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 148 Publications have been cited 8,128 times in 4,951 Documents Cited by ▼ Year ▼ Nonlinear scalar field equations. I: Existence of a ground state. Zbl 0533.35029 Berestycki, Henri; Lions, Pierre-Louis 1,315 1983 On the method of moving planes and the sliding method. Zbl 0784.35025 Berestycki, H.; Nirenberg, L. 380 1991 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129 Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 352 1994 Nonlinear scalar field equations. II: Existence of infinitely many solutions. Zbl 0556.35046 Berestycki, Henri; Lions, Pierre-Louis 337 1983 Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 232 2002 Travelling fronts in cylinders. Zbl 0799.35073 Berestycki, Henri; Nirenberg, Louis 182 1992 The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 178 2005 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 166 2005 Instabilité des etats stationnaires dans les équations de Schrödinger et de Klein-Gordon non linéaires. Zbl 0492.35010 Berestycki, Henri; Cazenave, Thierry 165 1981 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513 Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 151 1997 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 148 1997 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030 Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 145 1994 An ODE approach to the existence of positive solutions for semilinear problems in \(R^ n\). Zbl 0522.35036 Berestycki, Henri; Lions, Pierre-Louis; Peletier, L. A. 138 1981 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 137 2009 Équations de champs scalaires euclidiens non linéaires dans le plan. Zbl 0544.35042 Berestycki, Henri; Gallouët, Thierry; Kavian, Otared 135 1983 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 134 2009 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035 Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 132 1995 A perturbation method in critical point theory and applications. Zbl 0476.35030 Bahri, Abbas; Berestycki, Henri 130 1981 Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036 Berestycki, Henri; Hamel, François; Roques, Lionel 123 2005 Traveling wave solutions to combustion models and their singular limits. Zbl 0596.76096 Berestycki, Henri; Nicolaenko, Basil; Scheurer, Bruno 120 1985 Le nombre de solutions de certains problèmes semi-linéaires elliptiques. Zbl 0452.35038 Berestycki, Henri 114 1981 Generalized transition waves and their properties. Zbl 1248.35039 Berestycki, Henri; Hamel, François 112 2012 Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169 Berestycki, Henri; Hamel, François 109 2007 Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033 Berestycki, Henri; Hamel, François; Nadin, Grégoire 97 2008 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 93 1996 Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022 Berestycki, Henri; Hamel, François; Rossi, Luca 84 2007 On some nonlinear Sturm-Liouville problems. Zbl 0331.34020 Berestycki, Henri 84 1977 Bistable traveling waves around an obstacle. Zbl 1172.35031 Berestycki, Henri; Matano, Hiroshi; Hamel, François 80 2009 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056 Berestycki, H.; Hamel, F.; Monneau, R. 78 2000 Computing the implied volatility in stochastic volatility models. Zbl 1181.91356 Berestycki, Henri; Busca, Jérôme; Florent, Igor 77 2004 Multi-dimensional travelling-wave solutions of a flame propagation model. Zbl 0711.35066 Berestycki, H.; Larrouturou, B.; Lions, P. L. 76 1990 The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 76 2010 Monotonicity, symmetry and antisymmetry of solutions of semilinear elliptic equations. Zbl 0698.35031 Berestycki, H.; Nirenberg, L. 74 1988 Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 72 2005 Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542 Berestycki, Henri; Rossi, Luca 71 2008 Some qualitative properties of solutions of semilinear elliptic equations in cylindrical domains. Zbl 0705.35004 Berestycki, H.; Nirenberg, L. 68 1990 Forced waves of the Fisher-KPP equation in a shifting environment. Zbl 1377.35162 Berestycki, Henri; Fang, Jian 67 2018 On a free boundary problem arising in plasma physics. Zbl 0437.35032 Berestycki, Henri; Brézis, Haïm 65 1980 Uniform estimates for regularization of free boundary problems. Zbl 0702.35252 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 63 1990 Persistence criteria for populations with non-local dispersion. Zbl 1346.35202 Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung 63 2016 Double resonance in semilinear elliptic problems. Zbl 0468.35043 Berestycki, Henri; Guedes de Figueiredo, Djairo 62 1981 On the definition and the properties of the principal eigenvalue of some nonlocal operators. Zbl 1358.47044 Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung 60 2016 Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains. Zbl 1332.35243 Berestycki, Henri; Rossi, Luca 55 2015 Forced vibrations of superquadratic Hamiltonian systems. Zbl 0592.70027 Bahri, Abbas; Berestycki, Henri 52 1984 Existence of multiple periodic orbits on star-shaped Hamiltonian surfaces. Zbl 0569.58027 Berestycki, Henri; Lasry, Jean-Michel; Mancini, Giovanni; Ruf, Bernhard 49 1985 Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains. Zbl 1183.35166 Berestycki, Henri; Rossi, Luca 48 2009 Symmetry for elliptic equations in a half space. Zbl 0793.35034 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 46 1993 The influence of a line with fast diffusion on Fisher-KPP propagation. Zbl 1270.35264 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 45 2013 Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191 Berestycki, Henri; Nadin, Grégoire 42 2012 Existence of forced oscillations for some nonlinear differential equations. Zbl 0588.34028 Bahri, Abbas; Berestycki, Henri 41 1984 On phase-separation models: asymptotics and qualitative properties. Zbl 1263.35095 Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi 40 2013 On entire solutions of an elliptic system modeling phase separations. Zbl 1282.35022 Berestycki, Henri; Terracini, Susanna; Wang, Kelei; Wei, Juncheng 40 2013 On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications. Zbl 1105.35061 Berestycki, Henri; Rossi, Luca 38 2006 Existence and bifurcation of solutions for an elliptic degenerate problem. Zbl 0870.34032 Berestycki, Henri; Esteban, Maria J. 38 1997 The effect of climate shift on a species submitted to dispersion, evolution, growth, and nonlocal competition. Zbl 1364.35377 Alfaro, Matthieu; Berestycki, Henri; Raoul, Gaël 37 2017 Asymptotics and calibration of local volatility models. Zbl 1405.91586 Berestycki, H.; Busca, J.; Florent, I. 32 2002 Stability of travelling fronts in a model for flame propagation. I: Linear analysis. Zbl 0763.76033 Berestycki, Henri; Larrouturou, Bernard; Roquejoffre, Jean-Michel 31 1992 Reaction-diffusion in fast steady flow. (Réaction diffusion en écoulement stationnaire rapide.) Zbl 0992.76097 Audoly, Basile; Berestycki, Henri; Pomeau, Yves 30 2000 The influence of advection on the propagation of fronts in reaction-diffusion equations. Zbl 1073.35113 Berestycki, H. 30 2002 Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051 Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya 29 2005 Self-organised critical hot spots of criminal activity. Zbl 1233.91229 Berestycki, H.; Nadal, J.-P. 29 2010 The periodic patch model for population dynamics with fractional diffusion. Zbl 1207.35279 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 28 2011 Front blocking and propagation in cylinders with varying cross section. Zbl 1348.35105 Berestycki, Henri; Bouhours, Juliette; Chapuisat, Guillemette 28 2016 A semilinear elliptic equation in a strip arising in a two-dimensional flame propagation model. Zbl 0658.35036 Berestycki, Henri; Larrouturou, Bernard 27 1989 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123 Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 27 2015 Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160 Berestycki, H.; Rodríguez, N.; Ryzhik, L. 27 2013 The effect of a line with nonlocal diffusion on Fisher-KPP propagation. Zbl 1327.35175 Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca 26 2015 Metastability in a flame front evolution equation. Zbl 0991.35097 Berestycki, H.; Kamin, S.; Sivashinsky, G. 23 2001 Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035 Berestycki, Henri; Wei, Juncheng; Winter, Matthias 23 2014 A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030 Berestycki, H.; Bonnet, A.; Chapman, S. J. 22 1994 Une méthode locale pour l’existence de solutions positives de problèmes semi-linéaires elliptiques dans \(R^ n\). Zbl 0518.35034 Berestycki, Henri; Lions, Pierre-Louis 21 1980 Existence d’ondes solitaires dans des problèmes nonlinéaires du type Klein-Gordon. Zbl 0397.35024 Berestycki, Henri; Lions, Pierre-Louis 21 1979 Existence of a ground state in nonlinear equations of the Klein-Gordon type. Zbl 0707.35143 Berestycki, H.; Lions, P.-L. 20 1980 Fisher-KPP propagation in the presence of a line: further effects. Zbl 1273.35162 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 20 2013 Symmetry properties for positive solutions of elliptic equations with mixed boundary conditions. Zbl 0706.35021 Berestycki, Henri; Pacella, Filomena 19 1989 The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations. Zbl 1341.35169 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 19 2016 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 Sur certains problèmes de frontière libre. Zbl 0342.35014 Berestycki, Henri; Brézis, Haïm 17 1976 Existence d’ondes solitaires dans des problèmes nonlinéaires du type Klein-Gordon. Zbl 0391.35055 Berestycki, Henri; Lions, Pierre-Louis 17 1978 The explosion problem in a flow. Zbl 1204.35131 Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya 16 2010 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469 Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 16 2006 Quelques aspects mathématiques de la propagation des flammes prémélangées. (Some mathematical aspects of premixed flame propagation). Zbl 0755.35090 Berestycki, H.; Larrouturou, B. 15 1991 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056 Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 15 1993 Propagation in a non local reaction diffusion equation with spatial and genetic trait structure. Zbl 1338.35238 Berestycki, Henri; Jin, Tianling; Silvestre, Luis 15 2016 Some properties of monotone rearrangement with applications to elliptic equations in cylinders. Zbl 1084.35003 Berestycki, H.; Lachand-Robert, T. 14 2004 Some applications of the method of super and subsolutions. Zbl 0433.35023 Berestycki, Henri; Lions, Pierre-Louis 14 1980 Sharp existence results for a class of semilinear elliptic problems. Zbl 0571.35038 Berestycki, Henri; Lions, Pierre-Louis 13 1981 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 13 2021 Existence d’états multiples dans des équations de champs scalaires non linéaires dans le cas de masse nulle. Zbl 0542.35072 Berestycki, Henri; Lions, Pierre-Louis 12 1983 Qualitative properties of positive solutions of elliptic equations. Zbl 0947.35065 Berestycki, H. 11 2000 An inverse parabolic problem arising in finance. Zbl 1158.91369 Berestycki, Henri; Busca, Jérôme; Florent, Igor 11 2000 Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165 Berestycki, Henri; Chapuisat, Guillemette 11 2013 Flame extinction by periodic flow field. Zbl 0717.76108 Berestycki, Henri; Sivashinsky, Gregory I. 10 1991 A non-local bistable reaction-diffusion equation with a gap. Zbl 1368.35018 Rodríguez, Nancy; Berestycki, Henri 10 2017 On least energy solutions to a semilinear elliptic equation in a strip. Zbl 1196.35097 Berestycki, Henri; Wei, Juncheng 10 2010 Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081 Berestycki, H.; Hamel, F. 9 2000 Mathematics and complexity in human and life sciences. Zbl 1175.00022 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Some families of solutions of the Vlasov-Poisson systems. Zbl 0703.35171 Batt, J.; Berestycki, H.; Degond, P.; Perthame, B. 9 1988 Asymptotic spreading for general heterogeneous Fisher-KPP type equations. Zbl 1503.35002 Berestycki, Henri; Nadin, Grégoire 9 2022 Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432 Berestycki, Henri; Hamel, François 8 2005 Epidemic modeling with heterogeneity and social diffusion. Zbl 1511.92069 Berestycki, Henri; Desjardins, Benoît; Weitz, Joshua S.; Oury, Jean-Marc 1 2023 Asymptotic spreading for general heterogeneous Fisher-KPP type equations. Zbl 1503.35002 Berestycki, Henri; Nadin, Grégoire 9 2022 Modeling the propagation of riots, collective behaviors and epidemics. Zbl 1495.92073 Berestycki, Henri; Nordmann, Samuel; Rossi, Luca 1 2022 Propagation of epidemics along lines with fast diffusion. Zbl 1457.92156 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 13 2021 Influence of a road on a population in an ecological niche facing climate change. Zbl 1451.35228 Berestycki, Henri; Ducasse, Romain; Rossi, Luca 5 2020 Generalized principal eigenvalues for heterogeneous road-field systems. Zbl 1431.35072 Berestycki, Henri; Ducasse, Romain; Rossi, Luca 5 2020 Predator-prey models with competition. III: Classification of stationary solutions. Zbl 1425.35195 Berestycki, Henri; Zilio, Alessandro 2 2019 Bubbles in assets with finite life. Zbl 1417.91222 Berestycki, Henri; Bruggeman, Cameron; Monneau, Regis; Scheinkman, José A. 1 2019 Forced waves of the Fisher-KPP equation in a shifting environment. Zbl 1377.35162 Berestycki, Henri; Fang, Jian 67 2018 Predators-prey models with competition. I: Existence, bifurcation and qualitative properties. Zbl 1404.35452 Berestycki, Henri; Zilio, Alessandro 6 2018 Periodic cycles of social outbursts of activity. Zbl 1384.34053 Berestycki, H.; Rossi, L.; Rodríguez, N. 5 2018 Felix Browder (1927–2016). Zbl 1406.35004 Brezis, Haïim; Nussbaum, Roger D.; Cohen, Amy; Beals, Richard; Mawhin, Jean; Teman, Roger; Nirenberg, Louis; Berestycki, Henri; Mastrian, Barbara; Chanillo, Sagun; Lebowitz, Joel; Roberts, Fred; Bona, Jerry 1 2018 The effect of climate shift on a species submitted to dispersion, evolution, growth, and nonlocal competition. Zbl 1364.35377 Alfaro, Matthieu; Berestycki, Henri; Raoul, Gaël 37 2017 A non-local bistable reaction-diffusion equation with a gap. Zbl 1368.35018 Rodríguez, Nancy; Berestycki, Henri 10 2017 Persistence criteria for populations with non-local dispersion. Zbl 1346.35202 Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung 63 2016 On the definition and the properties of the principal eigenvalue of some nonlocal operators. Zbl 1358.47044 Berestycki, Henri; Coville, Jérôme; Vo, Hoang-Hung 60 2016 Front blocking and propagation in cylinders with varying cross section. Zbl 1348.35105 Berestycki, Henri; Bouhours, Juliette; Chapuisat, Guillemette 28 2016 The shape of expansion induced by a line with fast diffusion in Fisher-KPP equations. Zbl 1341.35169 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 19 2016 Propagation in a non local reaction diffusion equation with spatial and genetic trait structure. Zbl 1338.35238 Berestycki, Henri; Jin, Tianling; Silvestre, Luis 15 2016 Travelling waves, spreading and extinction for Fisher-KPP propagation driven by a line with fast diffusion. Zbl 1338.35239 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 8 2016 Generalizations and properties of the principal eigenvalue of elliptic operators in unbounded domains. Zbl 1332.35243 Berestycki, Henri; Rossi, Luca 55 2015 Maximum principle and generalized principal eigenvalue for degenerate elliptic operators. Zbl 1323.35123 Berestycki, Henri; Capuzzo Dolcetta, Italo; Porretta, Alessio; Rossi, Luca 27 2015 The effect of a line with nonlocal diffusion on Fisher-KPP propagation. Zbl 1327.35175 Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca 26 2015 A model of riots dynamics: shocks, diffusion and thresholds. Zbl 1342.35399 Berestycki, Henri; Nadal, Jean-Pierre; Rodíguez, Nancy 6 2015 Existence of symmetric and asymmetric spikes for a crime hotspot model. Zbl 1347.34035 Berestycki, Henri; Wei, Juncheng; Winter, Matthias 23 2014 A non-local free boundary problem arising in a theory of financial bubbles. Zbl 1353.91049 Berestycki, Henri; Monneau, Regis; Scheinkman, José A. 5 2014 Speed-up of reaction-diffusion fronts by a line of fast diffusion. Zbl 1485.35103 Berestycki, Henri; Coulon, Anne-Charline; Roquejoffre, Jean-Michel; Rossi, Luca 5 2014 The influence of a line with fast diffusion on Fisher-KPP propagation. Zbl 1270.35264 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 45 2013 On phase-separation models: asymptotics and qualitative properties. Zbl 1263.35095 Berestycki, Henri; Lin, Tai-Chia; Wei, Juncheng; Zhao, Chunyi 40 2013 On entire solutions of an elliptic system modeling phase separations. Zbl 1282.35022 Berestycki, Henri; Terracini, Susanna; Wang, Kelei; Wei, Juncheng 40 2013 Traveling wave solutions in a reaction-diffusion model for criminal activity. Zbl 1288.35160 Berestycki, H.; Rodríguez, N.; Ryzhik, L. 27 2013 Fisher-KPP propagation in the presence of a line: further effects. Zbl 1273.35162 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 20 2013 Traveling fronts guided by the environment for reaction-diffusion equations. Zbl 1270.35165 Berestycki, Henri; Chapuisat, Guillemette 11 2013 Generalized transition waves and their properties. Zbl 1248.35039 Berestycki, Henri; Hamel, François 112 2012 Spreading speeds for one-dimensional monostable reaction-diffusion equations. Zbl 1282.35191 Berestycki, Henri; Nadin, Grégoire 42 2012 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 1316.35217 Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 3 2012 The periodic patch model for population dynamics with fractional diffusion. Zbl 1207.35279 Berestycki, Henri; Roquejoffre, Jean-Michel; Rossi, Luca 28 2011 The speed of propagation for KPP type problems. II: General domains. Zbl 1197.35073 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 76 2010 Self-organised critical hot spots of criminal activity. Zbl 1233.91229 Berestycki, H.; Nadal, J.-P. 29 2010 Mathematics and complexity in life and human sciences. Zbl 1218.92001 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 18 2010 The explosion problem in a flow. Zbl 1204.35131 Berestycki, Henri; Kiselev, Alexander; Novikov, Alexei; Ryzhik, Lenya 16 2010 On least energy solutions to a semilinear elliptic equation in a strip. Zbl 1196.35097 Berestycki, Henri; Wei, Juncheng 10 2010 Disentangling collective trends from local dynamics. Zbl 1205.91136 Barthélemy, Marc; Nadal, Jean-Pierre; Berestycki, Henri 1 2010 The non-local Fisher-KPP equation: travelling waves and steady states. Zbl 1195.35088 Berestycki, Henri; Nadin, Grégoire; Perthame, Benoit; Ryzhik, Lenya 137 2009 Can a species keep pace with a shifting climate? Zbl 1169.92043 Berestycki, H.; Diekmann, O.; Nagelkerke, C. J.; Zegeling, P. A. 134 2009 Bistable traveling waves around an obstacle. Zbl 1172.35031 Berestycki, Henri; Matano, Hiroshi; Hamel, François 80 2009 Reaction-diffusion equations for population dynamics with forced speed. II: Cylindrical-type domains. Zbl 1183.35166 Berestycki, Henri; Rossi, Luca 48 2009 Mathematics and complexity in human and life sciences. Zbl 1175.00022 Bellomo, N.; Berestycki, H.; Brezzi, F.; Nadal, J.-P. 9 2009 Asymptotic spreading in heterogeneous diffusive excitable media. Zbl 1234.35033 Berestycki, Henri; Hamel, François; Nadin, Grégoire 97 2008 Reaction-diffusion equations for population dynamics with forced speed. I: The case of the whole space. Zbl 1173.35542 Berestycki, Henri; Rossi, Luca 71 2008 Generalized travelling waves for reaction-diffusion equations. Zbl 1200.35169 Berestycki, Henri; Hamel, François 109 2007 Liouville-type results for semilinear elliptic equations in unbounded domains. Zbl 1223.35022 Berestycki, Henri; Hamel, François; Rossi, Luca 84 2007 Perspectives in nonlinear partial differential equations in honor of Haïm Brezis. Based on the conference celebration of Haïm Brezis’ 60th birthday, June 21–25, 2004. Zbl 1126.00013 1 2007 On the principal eigenvalue of elliptic operators in \(\mathbb R^N\) and applications. Zbl 1105.35061 Berestycki, Henri; Rossi, Luca 38 2006 Non-planar fronts in Boussinesq reactive flows. Zbl 1157.35469 Berestycki, Henri; Constantin, Peter; Ryzhik, Lenya 16 2006 Fronts and invasions in general domains. Zbl 1103.35044 Berestycki, Henri; Hamel, François 6 2006 The speed of propagation for KPP type problems. I: Periodic framework. Zbl 1142.35464 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 178 2005 Analysis of the periodically fragmented environment model. I: Species persistence. Zbl 1066.92047 Berestycki, Henri; Hamel, François; Roques, Lionel 166 2005 Analysis of the periodically fragmented environment model. II: Biological invasions and pulsating travelling fronts. Zbl 1083.92036 Berestycki, Henri; Hamel, François; Roques, Lionel 123 2005 Elliptic eigenvalue problems with large drift and applications to nonlinear propagation phenomena. Zbl 1123.35033 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 72 2005 Quenching and propagation in KPP reaction-diffusion equations with a heat loss. Zbl 1087.35051 Berestycki, Henri; Hamel, Francois; Kiselev, Alexander; Ryzhik, Lenya 29 2005 Gradient estimates for elliptic regularizations of semilinear parabolic and degenerate elliptic equations. Zbl 1142.35432 Berestycki, Henri; Hamel, François 8 2005 Computing the implied volatility in stochastic volatility models. Zbl 1181.91356 Berestycki, Henri; Busca, Jérôme; Florent, Igor 77 2004 Some properties of monotone rearrangement with applications to elliptic equations in cylinders. Zbl 1084.35003 Berestycki, H.; Lachand-Robert, T. 14 2004 Propagation speed for reaction-diffusion equations in general domains. Zbl 1049.35100 Berestycki, Henri; Hamel, François; Nadirashvili, Nikolai 7 2004 Reaction-diffusion equations and biological invasion models in periodic media. (Équations de réaction-diffusion et modèles d’invasions biologiques dans les milieux périodiques.) Zbl 1058.35103 Berestycki, Henri; Hamel, François; Roques, Lionel 2 2004 Dynamical approach for positive solutions of semilinear elliptic problems in unbounded domains. Zbl 1107.35349 Berestycki, H.; Efendiev, M.; Zelik, S. 1 2004 On singular perturbation problems with Robin boundary condition. Zbl 1121.35008 Berestycki, Henri; Wei, Juncheng 7 2003 Front propagation in periodic excitable media. Zbl 1024.37054 Berestycki, Henri; Hamel, François 232 2002 Asymptotics and calibration of local volatility models. Zbl 1405.91586 Berestycki, H.; Busca, J.; Florent, I. 32 2002 The influence of advection on the propagation of fronts in reaction-diffusion equations. Zbl 1073.35113 Berestycki, H. 30 2002 Metastability in a flame front evolution equation. Zbl 0991.35097 Berestycki, H.; Kamin, S.; Sivashinsky, G. 23 2001 One-dimensional symmetry of bounded entire solutions of some elliptic equations. Zbl 0954.35056 Berestycki, H.; Hamel, F.; Monneau, R. 78 2000 Reaction-diffusion in fast steady flow. (Réaction diffusion en écoulement stationnaire rapide.) Zbl 0992.76097 Audoly, Basile; Berestycki, Henri; Pomeau, Yves 30 2000 Qualitative properties of positive solutions of elliptic equations. Zbl 0947.35065 Berestycki, H. 11 2000 An inverse parabolic problem arising in finance. Zbl 1158.91369 Berestycki, Henri; Busca, Jérôme; Florent, Igor 11 2000 Non-existence of travelling front solutions of some bistable reaction-diffusion equations. Zbl 0988.35081 Berestycki, H.; Hamel, F. 9 2000 Some nonlinear PDE’s in the theory of flame propagation. Zbl 1043.76061 Berestycki, Henri 2 2000 Further qualitative properties for elliptic equations in unbounded domains. Zbl 1079.35513 Berestycki, Henri; Caffarelli, Luis; Nirenberg, Louis 151 1997 Monotonicity for elliptic equations in unbounded Lipschitz domains. Zbl 0906.35035 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 148 1997 Existence and bifurcation of solutions for an elliptic degenerate problem. Zbl 0870.34032 Berestycki, Henri; Esteban, Maria J. 38 1997 The effect of stirring on the limits of thermal explosion. Zbl 1034.80505 Kagan, L.; Berestycki, H.; Joulin, G.; Sivashinsky, G. 7 1997 Inequalities for second-order elliptic equations with applications to unbounded domains. I. Zbl 0860.35004 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 93 1996 Qualitative properties of semilinear elliptic equations in unbounded domains. Zbl 0887.35054 Berestycki, H. 1 1996 Variational methods for indefinite superlinear homogeneous elliptic problems. Zbl 0840.35035 Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 132 1995 Nonlinear dynamics and metastability in a Burgers type equation (for upward propagating flames). Zbl 0838.35112 Berestycki, Henri; Kamin, Shoshana; Sivashinsky, Gregory 5 1995 The principal eigenvalue and maximum principle for second-order elliptic operators in general domains. Zbl 0806.35129 Berestycki, H.; Nirenberg, L.; Varadhan, S. R. S. 352 1994 Superlinear indefinite elliptic problems and nonlinear Liouville theorems. Zbl 0816.35030 Berestycki, H.; Capuzzo Dolcetta, I.; Nirenberg, L. 145 1994 A semi-elliptic system arising in the theory of type-II superconductivity. Zbl 0866.35030 Berestycki, H.; Bonnet, A.; Chapman, S. J. 22 1994 Symmetry for elliptic equations in a half space. Zbl 0793.35034 Berestycki, H.; Caffarelli, L. A.; Nirenberg, L. 46 1993 Indefinite elliptic equations and nonlinear Liouville theorems. (Problèmes elliptiques indéfinis et théorèmes de Liouville non linéaires.) Zbl 0820.35056 Berestycki, Henri; Capuzzo-Dolcetta, Italo; Nirenberg, Louis 15 1993 Eigenvalue problems for some nonlinear Wheeler-DeWitt operators. Zbl 0839.35096 Berestycki, H.; Dias, J.-P.; Esteban, M. J.; Figueira, M. 7 1993 The ground state and maximum principle for second order elliptic operators in general domains. (État fondamental et principe du maximum pour les opérateurs elliptiques du second ordre dans des domaines généraux.) Zbl 0798.35038 Berestycki, Henri; Nirenberg, Louis; Varadhan, Srinivasa 1 1993 On the models for planar flames with complex chemistry. (Sur les modèles de flammes planes en chimie complexe.) Zbl 0794.34006 Berestycki, Henri; Larrouturou, Bernard 1 1993 Travelling fronts in cylinders. Zbl 0799.35073 Berestycki, Henri; Nirenberg, Louis 182 1992 Stability of travelling fronts in a model for flame propagation. I: Linear analysis. Zbl 0763.76033 Berestycki, Henri; Larrouturou, Bernard; Roquejoffre, Jean-Michel 31 1992 A nonexistence theorem for an equation with critical Sobolev exponent in the half space. Zbl 0796.35050 Berestycki, Henri; Grossi, Massimo; Pacella, Filomena 3 1992 On the method of moving planes and the sliding method. Zbl 0784.35025 Berestycki, H.; Nirenberg, L. 380 1991 Quelques aspects mathématiques de la propagation des flammes prémélangées. (Some mathematical aspects of premixed flame propagation). Zbl 0755.35090 Berestycki, H.; Larrouturou, B. 15 1991 Flame extinction by periodic flow field. Zbl 0717.76108 Berestycki, Henri; Sivashinsky, Gregory I. 10 1991 ...and 48 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 3,936 Authors 73 Hamel, François 62 Berestycki, Henri 50 Li, Wan-Tong 47 Shen, Wenxian 43 Tang, Chun-Lei 42 Tang, Xianhua 39 Roquejoffre, Jean-Michel 39 Wei, Juncheng 37 Du, Yihong 35 Zou, Wenming 31 Do Ó, João M. Bezerra 31 Sciunzi, Berardino 29 Shibata, Tetsutaro 28 Jeanjean, Louis 28 Poláčik, Peter 27 Alves, Claudianor Oliveira 27 Farina, Alberto 27 Nadin, Grégoire 27 Valdinoci, Enrico 26 Quaas, Alexander 26 Rossi, Luca 26 Wang, Zhi-Qiang 25 Ducrot, Arnaud 25 Tanaka, Kazunaga 25 Wang, Mingxin 25 Wang, Zhi Cheng 24 Zhang, Jianjun 23 Coville, Jerome 23 López-Gómez, Julián 23 Ryzhik, Lenya 23 Volpert, Vitaly A. 23 Wu, Tsungfang 23 Zhang, Jian 22 Birindelli, Isabeau 22 Merle, Frank 22 Miyagaki, Olimpio Hiroshi 22 Roques, Lionel J. 22 Sirakov, Boyan Slavchev 22 Zlatoš, Andrej 21 Benci, Vieri 21 Lin, Guo 20 Biswas, Anup 20 Byeon, Jaeyoung 20 García-Melián, Jorge 20 Shivaji, Ratnasingham 19 Liang, Xing 19 Lions, Pierre-Louis 19 Pomponio, Alessio 18 Felmer, Patricio L. 18 Giletti, Thomas 18 Molle, Riccardo 18 Montoro, Luigi 18 Ohta, Masahito 18 Rădulescu, Vicenţiu D. 17 de Souza, Manassés X. 17 Sun, Jianwen 17 Wang, Jiabing 17 Xin, Jack X. 17 Zhao, Xiao-Qiang 16 Azzollini, Antonio 16 Ikoma, Norihisa 16 Li, Congming 16 Liao, Jiafeng 16 Lutscher, Frithjof 16 Maia, Liliane A. 16 Monneau, Régis 16 Shi, Junping 16 Weth, Tobias 15 Ambrosio, Vincenzo 15 Chen, Sitong 15 Figueiredo, Giovany Malcher 15 Li, Yi 15 Long, Yiming 15 Matano, Hiroshi 15 Nadirashvili, Nikolai S. 15 Pacella, Filomena 15 Passaseo, Donato 15 Raphael, Pierre 15 Ruan, Shigui 15 Sire, Yannick 15 Sourdis, Christos 15 Squassina, Marco 15 Vo, Hoang-Hung 14 Boscaggin, Alberto 14 Caffarelli, Luis Ángel 14 Cerami, Giovanna 14 Chen, Haibo 14 Chen, Wenxiong 14 Cingolani, Silvia 14 Dipierro, Serena 14 Guo, Jong-Shenq 14 Henderson, Christopher 14 Li, Gongbao 14 Liu, Jiu 14 Liu, Zhisu 14 Martel, Yvan 14 Ou, Chunhua 14 Seok, Jinmyoung 14 Soave, Nicola 14 Souto de Medeiros, Everaldo ...and 3,836 more Authors all top 5 Cited in 382 Serials 447 Journal of Differential Equations 280 Journal of Mathematical Analysis and Applications 262 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 171 Calculus of Variations and Partial Differential Equations 128 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 116 Discrete and Continuous Dynamical Systems 109 Archive for Rational Mechanics and Analysis 104 Journal of Functional Analysis 91 Communications on Pure and Applied Analysis 81 Journal de Mathématiques Pures et Appliquées. Neuvième Série 80 Nonlinear Analysis. Theory, Methods & Applications 75 Journal of Dynamics and Differential Equations 71 Nonlinear Analysis. Real World Applications 69 Communications in Partial Differential Equations 67 Proceedings of the American Mathematical Society 65 Nonlinearity 64 Journal of Mathematical Physics 64 Annali di Matematica Pura ed Applicata. Serie Quarta 64 NoDEA. Nonlinear Differential Equations and Applications 60 Applicable Analysis 60 Transactions of the American Mathematical Society 59 Communications in Contemporary Mathematics 57 Discrete and Continuous Dynamical Systems. Series B 55 Advanced Nonlinear Studies 53 Communications in Mathematical Physics 50 Journal of Mathematical Biology 49 Applied Mathematics Letters 49 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 47 SIAM Journal on Mathematical Analysis 46 ZAMP. Zeitschrift für angewandte Mathematik und Physik 46 Comptes Rendus. Mathématique. Académie des Sciences, Paris 41 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences 40 Mathematische Annalen 40 Physica D 39 Boundary Value Problems 39 Complex Variables and Elliptic Equations 35 Advances in Mathematics 32 Journal of the European Mathematical Society (JEMS) 31 Mathematical Methods in the Applied Sciences 30 Advances in Nonlinear Analysis 29 The Journal of Geometric Analysis 25 Bulletin of Mathematical Biology 24 Computers & Mathematics with Applications 22 Communications on Pure and Applied Mathematics 22 Journal d’Analyse Mathématique 22 Duke Mathematical Journal 21 Revista Matemática Iberoamericana 20 Acta Mathematica Scientia. Series B. (English Edition) 20 Discrete and Continuous Dynamical Systems. Series S 19 Applied Mathematics and Computation 19 Mathematische Nachrichten 19 European Journal of Applied Mathematics 19 SIAM Journal on Applied Mathematics 19 Topological Methods in Nonlinear Analysis 19 Electronic Journal of Differential Equations (EJDE) 19 Milan Journal of Mathematics 18 Acta Mathematica Sinica. English Series 18 Mathematics in Engineering 17 Abstract and Applied Analysis 17 Mediterranean Journal of Mathematics 17 Journal of Fixed Point Theory and Applications 17 Science China. Mathematics 16 Asymptotic Analysis 15 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 15 Mathematische Zeitschrift 14 Acta Applicandae Mathematicae 14 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 14 Journal of Elliptic and Parabolic Equations 13 Applied Mathematics and Optimization 13 Journal of Nonlinear Science 13 European Series in Applied and Industrial Mathematics (ESAIM): Control, Optimization and Calculus of Variations 13 International Journal of Theoretical and Applied Finance 13 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 12 Rocky Mountain Journal of Mathematics 12 Manuscripta Mathematica 12 Chinese Annals of Mathematics. Series B 12 Journal of Mathematical Sciences (New York) 12 Mathematical Modelling of Natural Phenomena 11 Mathematical Notes 11 SN Partial Differential Equations and Applications 10 Results in Mathematics 10 Zeitschrift für Analysis und ihre Anwendungen 10 Qualitative Theory of Dynamical Systems 10 Quantitative Finance 10 SIAM Journal on Applied Dynamical Systems 9 Proceedings of the Edinburgh Mathematical Society. Series II 9 Rendiconti del Seminario Matematico della Università di Padova 9 Japan Journal of Industrial and Applied Mathematics 9 Potential Analysis 9 Advances in Differential Equations 9 Mathematical Finance 9 Journal of Evolution Equations 9 Electronic Research Archive 8 Journal of Computational and Applied Mathematics 8 Journal of the American Mathematical Society 8 Bulletin of the American Mathematical Society. New Series 8 Annales de l’Institut Henri Poincaré. Physique Théorique 8 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 8 Finance and Stochastics 8 Fractional Calculus & Applied Analysis ...and 282 more Serials all top 5 Cited in 49 Fields 4,272 Partial differential equations (35-XX) 635 Biology and other natural sciences (92-XX) 444 Ordinary differential equations (34-XX) 331 Operator theory (47-XX) 283 Global analysis, analysis on manifolds (58-XX) 268 Dynamical systems and ergodic theory (37-XX) 199 Calculus of variations and optimal control; optimization (49-XX) 187 Fluid mechanics (76-XX) 163 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 147 Integral equations (45-XX) 122 Probability theory and stochastic processes (60-XX) 107 Quantum theory (81-XX) 99 Classical thermodynamics, heat transfer (80-XX) 94 Numerical analysis (65-XX) 94 Statistical mechanics, structure of matter (82-XX) 91 Functional analysis (46-XX) 82 Differential geometry (53-XX) 49 Real functions (26-XX) 49 Optics, electromagnetic theory (78-XX) 40 Mechanics of particles and systems (70-XX) 34 Difference and functional equations (39-XX) 31 Systems theory; control (93-XX) 24 Mechanics of deformable solids (74-XX) 23 Potential theory (31-XX) 13 Statistics (62-XX) 10 Approximations and expansions (41-XX) 10 Harmonic analysis on Euclidean spaces (42-XX) 10 Relativity and gravitational theory (83-XX) 10 Geophysics (86-XX) 8 Operations research, mathematical programming (90-XX) 7 Convex and discrete geometry (52-XX) 6 General and overarching topics; collections (00-XX) 6 History and biography (01-XX) 6 Measure and integration (28-XX) 6 Algebraic topology (55-XX) 6 Manifolds and cell complexes (57-XX) 5 Astronomy and astrophysics (85-XX) 4 Topological groups, Lie groups (22-XX) 4 Functions of a complex variable (30-XX) 4 Several complex variables and analytic spaces (32-XX) 4 Special functions (33-XX) 4 Abstract harmonic analysis (43-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 3 General topology (54-XX) 3 Computer science (68-XX) 2 Information and communication theory, circuits (94-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.