Edit Profile (opens in new tab) Berti, Massimiliano Compute Distance To: Compute Author ID: berti.massimiliano Published as: Berti, Massimiliano; Berti, M. Documents Indexed: 70 Publications since 1996, including 5 Books Reviewing Activity: 12 Reviews Co-Authors: 21 Co-Authors with 59 Joint Publications 368 Co-Co-Authors all top 5 Co-Authors 11 single-authored 22 Bolle, Philippe 11 Montalto, Riccardo 9 Baldi, Pietro 9 Biasco, Luca 8 Procesi, Michela 3 Maspero, Alberto 2 Ambrosetti, Antonio 2 Bambusi, Dario 2 Feola, Roberto 2 Franzoi, Laura 2 Haus, Emanuele 2 Kappeler, Thomas 2 Valdinoci, Enrico 1 Carminati, Carlo 1 Corsi, Livia 1 Delort, Jean-Marc 1 Magistrelli, E. 1 Malchiodi, Andrea 1 Matzeu, Michele 1 Murgante, F. 1 Pusateri, Fabio all top 5 Serials 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 4 Archive for Rational Mechanics and Analysis 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Discrete and Continuous Dynamical Systems 3 Communications in Mathematical Physics 2 Duke Mathematical Journal 2 Journal of Differential Equations 2 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 2 SIAM Journal on Mathematical Analysis 2 Bollettino della Unione Matematica Italiana. Serie VIII. Sezione B. Articoli di Ricerca Matematica 2 Bollettino dell’Unione Matematica Italiana 2 Water Waves 1 Nonlinearity 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 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Inventiones Mathematicae 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 1 Communications in Partial Differential Equations 1 Journal de Mathématiques Pures et Appliquées. Neuvième Série 1 Journal of Dynamics and Differential Equations 1 NoDEA. Nonlinear Differential Equations and Applications 1 Journal of the European Mathematical Society (JEMS) 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Communications on Pure and Applied Analysis 1 Analysis in Theory and Applications 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Astérisque 1 Journal of Fixed Point Theory and Applications 1 Frontiers of Mathematics in China 1 Lecture Notes of the Unione Matematica Italiana 1 Séminaire Laurent Schwartz. EDP et Applications 1 Progress in Nonlinear Differential Equations and Their Applications 1 EMS Monographs in Mathematics all top 5 Fields 54 Dynamical systems and ergodic theory (37-XX) 52 Partial differential equations (35-XX) 11 Global analysis, analysis on manifolds (58-XX) 8 Fluid mechanics (76-XX) 4 Operator theory (47-XX) 3 Ordinary differential equations (34-XX) 3 Mechanics of particles and systems (70-XX) 1 Topological groups, Lie groups (22-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Differential geometry (53-XX) 1 Mechanics of deformable solids (74-XX) 1 Geophysics (86-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 60 Publications have been cited 1,117 times in 410 Documents Cited by ▼ Year ▼ KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. Zbl 1350.37076Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 83 2014 Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential. Zbl 1260.35196Berti, Massimiliano; Bolle, Philippe 65 2013 KAM for reversible derivative wave equations. Zbl 1293.35275Berti, Massimiliano; Biasco, Luca; Procesi, Michela 56 2014 KAM theory for the Hamiltonian derivative wave equation. (Théorie KAM pour l’équation des ondes hamiltonienne avec dérivées.) Zbl 1304.37055Berti, Massimiliano; Biasco, Luca; Procesi, Michela 56 2013 Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Zbl 1262.35015Berti, Massimiliano; Bolle, Philippe 54 2012 KAM for autonomous quasi-linear perturbations of KdV. Zbl 1370.37134Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 47 2016 Periodic solutions of nonlinear wave equations with general nonlinearities. Zbl 1072.35015Berti, Massimiliano; Bolle, Philippe 40 2003 Branching of Cantor manifolds of elliptic tori and applications to PDEs. Zbl 1230.37092Berti, Massimiliano; Biasco, Luca 40 2011 An abstract Nash-Moser theorem with parameters and applications to PDEs. Zbl 1203.47038Berti, M.; Bolle, P.; Procesi, M. 39 2010 Time quasi-periodic gravity water waves in finite depth. Zbl 1445.76017Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo 38 2018 An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Zbl 1312.35157Berti, Massimiliano; Corsi, Livia; Procesi, Michela 36 2015 Cantor families of periodic solutions for completely resonant nonlinear wave equations. Zbl 1103.35077Berti, Massimiliano; Bolle, Philippe 34 2006 Drift in phase space: A new variational mechanism with optimal diffusion time. Zbl 1025.37037Berti, Massimiliano; Biasco, Luca; Bolle, Philippe 32 2003 Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions. Zbl 1186.35113Berti, Massimiliano; Bolle, Philippe 27 2010 Multiplicity of periodic solutions of nonlinear wave equations. Zbl 1064.35119Berti, Massimiliano; Bolle, Philippe 25 2004 Non-compactness and multiplicity results for the Yamabe problem on \(S^n\). Zbl 0979.53038Berti, Massimiliano; Malchiodi, Andrea 23 2001 Quasi-periodic solutions of completely resonant forced wave equations. Zbl 1100.35011Berti, Massimiliano; Procesi, Michela 23 2006 A functional analysis approach to Arnold diffusion. Zbl 1087.37048Berti, Massimiliano; Bolle, Philippe 22 2002 Degenerate KAM theory for partial differential equations. Zbl 1213.37103Bambusi, D.; Berti, M.; Magistrelli, E. 22 2011 Quasi-periodic standing wave solutions of gravity-capillary water waves. Zbl 1443.76001Berti, Massimiliano; Montalto, Riccardo 21 2020 Forced vibrations of a nonhomogeneous string. Zbl 1217.35012Baldi, Pietro; Berti, Massimiliano 20 2008 Almost global solutions of capillary-gravity water waves equations on the circle. Zbl 1409.35002Berti, Massimiliano; Delort, Jean-Marc 20 2018 Cantor families of periodic solutions of wave equations with \(C^{k}\) nonlinearities. Zbl 1155.35004Berti, Massimiliano; Bolle, Philippe 20 2008 Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. Zbl 1260.37045Berti, Massimiliano; Procesi, Michela 19 2011 KAM for autonomous quasi-linear perturbations of mKdV. Zbl 1339.37073Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 19 2016 KAM for quasi-linear KdV. (KAM pour KdV quasi-linéaire.) Zbl 1302.35331Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 18 2014 Nonlinear oscillations of Hamiltonian PDEs. Zbl 1146.35002Berti, Massimiliano 18 2007 A Nash-Moser approach to KAM theory. Zbl 1342.37073Berti, Massimiliano; Bolle, Philippe 16 2015 Homoclinics and chaotic behaviour for perturbed second order systems. Zbl 0957.37019Berti, Massimiliano; Bolle, Philippe 15 1999 A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045Bambusi, Dario; Berti, Massimiliano 14 2005 Quasi-periodic water waves. Zbl 1360.76046Berti, Massimiliano; Montalto, Riccardo 13 2017 Forced vibrations of wave equations with non-monotone nonlinearities. Zbl 1103.35076Berti, Massimiliano; Biasco, Luca 12 2006 Long time dynamics of Schrödinger and wave equations on flat tori. Zbl 1420.35040Berti, M.; Maspero, A. 11 2019 A note on KAM theory for quasi-linear and fully nonlinear forced KdV. Zbl 1282.37039Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 11 2013 Cantor families of periodic solutions for wave equations via a variational principle. Zbl 1132.35063Berti, Massimiliano; Bolle, Philippe 9 2008 (Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 8 2018 Existence and stability of quasi-periodic solutions for derivative wave equations. Zbl 1282.37040Berti, Massimiliano; Biasco, Luca; Procesi, Michela 8 2013 KAM for PDEs. Zbl 1339.37075Berti, Massimiliano 8 2016 Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems. Zbl 1004.37060Berti, Massimiliano; Carminati, Carlo 7 2002 KAM theory for partial differential equations. Zbl 1438.37044Berti, Massimiliano 7 2019 Fast Arnold diffusion in systems with three time scales. Zbl 1023.37033Berti, Massimiliano; Bolle, Philippe 7 2002 Quasi-periodic solutions of nonlinear Schrödinger equations on \(T^{d}\). Zbl 1230.35126Berti, Massimiliano; Bolle, Philippe 6 2011 Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies. Zbl 1113.35128Baldi, Pietro; Berti, Massimiliano 6 2006 Periodic orbits close to elliptic tori and applications to the three-body problem. Zbl 1121.37047Berti, Massimiliano; Biasco, Luca; Valdinoci, Enrico 5 2004 Cantor families of periodic solutions for completely resonant wave equations. Zbl 1160.35476Berti, Massimiliano; Bolle, Philippe 5 2008 Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto 4 2021 Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems. Zbl 1009.37044Berti, Massimiliano; Bolle, Philippe 3 2000 Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Zbl 0921.58023Berti, Massimiliano; Bolle, Philippe 3 1998 Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037Ambrosetti, Antonio; Berti, Massimiliano 3 1998 Optimal stability and instability results for a class of nearly integrable Hamiltonian systems. Zbl 1072.37060Biasco, Luca; Berti, Massimiliano; Bolle, Philippe 3 2002 On periodic elliptic equations with gradient dependence. Zbl 1187.35066Berti, Massimiliano; Matzeu, Michele; Valdinoci, Enrico 3 2008 Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Zbl 0938.34039Berti, Massimiliano; Bolle, Philippe 2 1998 Quasi-periodic solutions of nonlinear wave equations on the \(d\)-dimensional torus. Zbl 1454.37003Berti, Massimiliano; Bolle, Philippe 2 2020 Periodic solutions of nonlinear wave equations with non-monotone forcing terms. Zbl 1225.35147Biasco, Luca; Berti, Massimiliano 2 2005 Birkhoff normal form for gravity water waves. Zbl 1477.35156Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 2 2021 Heteroclinic solutions for perturbed second order systems. Zbl 0931.37018Berti, Massimiliano 1 1997 Arnold diffusion: A functional analysis approach. Zbl 1034.37032Berti, Massimiliano 1 2002 Variational methods for Hamiltonian PDEs. Zbl 1145.37032Berti, Massimiliano 1 2008 KAM for gravity water waves in finite depth. Zbl 1390.76041Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo 1 2018 Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 1 2021 Traveling quasi-periodic water waves with constant vorticity. Zbl 1462.35262Berti, Massimiliano; Franzoi, Laura; Maspero, Alberto 4 2021 Birkhoff normal form for gravity water waves. Zbl 1477.35156Berti, Massimiliano; Feola, Roberto; Pusateri, Fabio 2 2021 Large KAM tori for quasi-linear perturbations of KdV. Zbl 1462.35329Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 1 2021 Quasi-periodic standing wave solutions of gravity-capillary water waves. Zbl 1443.76001Berti, Massimiliano; Montalto, Riccardo 21 2020 Quasi-periodic solutions of nonlinear wave equations on the \(d\)-dimensional torus. Zbl 1454.37003Berti, Massimiliano; Bolle, Philippe 2 2020 Long time dynamics of Schrödinger and wave equations on flat tori. Zbl 1420.35040Berti, M.; Maspero, A. 11 2019 KAM theory for partial differential equations. Zbl 1438.37044Berti, Massimiliano 7 2019 Time quasi-periodic gravity water waves in finite depth. Zbl 1445.76017Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo 38 2018 Almost global solutions of capillary-gravity water waves equations on the circle. Zbl 1409.35002Berti, Massimiliano; Delort, Jean-Marc 20 2018 (Large) KAM tori for perturbations of the defocusing NLS equation. Zbl 1465.35002Berti, Massimiliano; Kappeler, Thomas; Montalto, Riccardo 8 2018 KAM for gravity water waves in finite depth. Zbl 1390.76041Baldi, Pietro; Berti, Massimiliano; Haus, Emanuele; Montalto, Riccardo 1 2018 Quasi-periodic water waves. Zbl 1360.76046Berti, Massimiliano; Montalto, Riccardo 13 2017 KAM for autonomous quasi-linear perturbations of KdV. Zbl 1370.37134Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 47 2016 KAM for autonomous quasi-linear perturbations of mKdV. Zbl 1339.37073Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 19 2016 KAM for PDEs. Zbl 1339.37075Berti, Massimiliano 8 2016 An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Zbl 1312.35157Berti, Massimiliano; Corsi, Livia; Procesi, Michela 36 2015 A Nash-Moser approach to KAM theory. Zbl 1342.37073Berti, Massimiliano; Bolle, Philippe 16 2015 KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. Zbl 1350.37076Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 83 2014 KAM for reversible derivative wave equations. Zbl 1293.35275Berti, Massimiliano; Biasco, Luca; Procesi, Michela 56 2014 KAM for quasi-linear KdV. (KAM pour KdV quasi-linéaire.) Zbl 1302.35331Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 18 2014 Quasi-periodic solutions with Sobolev regularity of NLS on \(\mathbb T^d\) with a multiplicative potential. Zbl 1260.35196Berti, Massimiliano; Bolle, Philippe 65 2013 KAM theory for the Hamiltonian derivative wave equation. (Théorie KAM pour l’équation des ondes hamiltonienne avec dérivées.) Zbl 1304.37055Berti, Massimiliano; Biasco, Luca; Procesi, Michela 56 2013 A note on KAM theory for quasi-linear and fully nonlinear forced KdV. Zbl 1282.37039Baldi, Pietro; Berti, Massimiliano; Montalto, Riccardo 11 2013 Existence and stability of quasi-periodic solutions for derivative wave equations. Zbl 1282.37040Berti, Massimiliano; Biasco, Luca; Procesi, Michela 8 2013 Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Zbl 1262.35015Berti, Massimiliano; Bolle, Philippe 54 2012 Branching of Cantor manifolds of elliptic tori and applications to PDEs. Zbl 1230.37092Berti, Massimiliano; Biasco, Luca 40 2011 Degenerate KAM theory for partial differential equations. Zbl 1213.37103Bambusi, D.; Berti, M.; Magistrelli, E. 22 2011 Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. Zbl 1260.37045Berti, Massimiliano; Procesi, Michela 19 2011 Quasi-periodic solutions of nonlinear Schrödinger equations on \(T^{d}\). Zbl 1230.35126Berti, Massimiliano; Bolle, Philippe 6 2011 An abstract Nash-Moser theorem with parameters and applications to PDEs. Zbl 1203.47038Berti, M.; Bolle, P.; Procesi, M. 39 2010 Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions. Zbl 1186.35113Berti, Massimiliano; Bolle, Philippe 27 2010 Forced vibrations of a nonhomogeneous string. Zbl 1217.35012Baldi, Pietro; Berti, Massimiliano 20 2008 Cantor families of periodic solutions of wave equations with \(C^{k}\) nonlinearities. Zbl 1155.35004Berti, Massimiliano; Bolle, Philippe 20 2008 Cantor families of periodic solutions for wave equations via a variational principle. Zbl 1132.35063Berti, Massimiliano; Bolle, Philippe 9 2008 Cantor families of periodic solutions for completely resonant wave equations. Zbl 1160.35476Berti, Massimiliano; Bolle, Philippe 5 2008 On periodic elliptic equations with gradient dependence. Zbl 1187.35066Berti, Massimiliano; Matzeu, Michele; Valdinoci, Enrico 3 2008 Variational methods for Hamiltonian PDEs. Zbl 1145.37032Berti, Massimiliano 1 2008 Nonlinear oscillations of Hamiltonian PDEs. Zbl 1146.35002Berti, Massimiliano 18 2007 Cantor families of periodic solutions for completely resonant nonlinear wave equations. Zbl 1103.35077Berti, Massimiliano; Bolle, Philippe 34 2006 Quasi-periodic solutions of completely resonant forced wave equations. Zbl 1100.35011Berti, Massimiliano; Procesi, Michela 23 2006 Forced vibrations of wave equations with non-monotone nonlinearities. Zbl 1103.35076Berti, Massimiliano; Biasco, Luca 12 2006 Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies. Zbl 1113.35128Baldi, Pietro; Berti, Massimiliano 6 2006 A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045Bambusi, Dario; Berti, Massimiliano 14 2005 Periodic solutions of nonlinear wave equations with non-monotone forcing terms. Zbl 1225.35147Biasco, Luca; Berti, Massimiliano 2 2005 Multiplicity of periodic solutions of nonlinear wave equations. Zbl 1064.35119Berti, Massimiliano; Bolle, Philippe 25 2004 Periodic orbits close to elliptic tori and applications to the three-body problem. Zbl 1121.37047Berti, Massimiliano; Biasco, Luca; Valdinoci, Enrico 5 2004 Periodic solutions of nonlinear wave equations with general nonlinearities. Zbl 1072.35015Berti, Massimiliano; Bolle, Philippe 40 2003 Drift in phase space: A new variational mechanism with optimal diffusion time. Zbl 1025.37037Berti, Massimiliano; Biasco, Luca; Bolle, Philippe 32 2003 A functional analysis approach to Arnold diffusion. Zbl 1087.37048Berti, Massimiliano; Bolle, Philippe 22 2002 Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems. Zbl 1004.37060Berti, Massimiliano; Carminati, Carlo 7 2002 Fast Arnold diffusion in systems with three time scales. Zbl 1023.37033Berti, Massimiliano; Bolle, Philippe 7 2002 Optimal stability and instability results for a class of nearly integrable Hamiltonian systems. Zbl 1072.37060Biasco, Luca; Berti, Massimiliano; Bolle, Philippe 3 2002 Arnold diffusion: A functional analysis approach. Zbl 1034.37032Berti, Massimiliano 1 2002 Non-compactness and multiplicity results for the Yamabe problem on \(S^n\). Zbl 0979.53038Berti, Massimiliano; Malchiodi, Andrea 23 2001 Diffusion time and splitting of separatrices for nearly integrable isochronous Hamiltonian systems. Zbl 1009.37044Berti, Massimiliano; Bolle, Philippe 3 2000 Homoclinics and chaotic behaviour for perturbed second order systems. Zbl 0957.37019Berti, Massimiliano; Bolle, Philippe 15 1999 Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Zbl 0921.58023Berti, Massimiliano; Bolle, Philippe 3 1998 Homoclinics and complex dynamics in slowly oscillating systems. Zbl 0952.34037Ambrosetti, Antonio; Berti, Massimiliano 3 1998 Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Zbl 0938.34039Berti, Massimiliano; Bolle, Philippe 2 1998 Heteroclinic solutions for perturbed second order systems. Zbl 0931.37018Berti, Massimiliano 1 1997 all cited Publications top 5 cited Publications all top 5 Cited by 318 Authors 40 Berti, Massimiliano 26 Montalto, Riccardo 24 Procesi, Michela 17 Geng, Jiansheng 16 Baldi, Pietro 15 Bambusi, Dario 14 Biasco, Luca 14 Si, Jianguo 12 Bolle, Philippe 12 Feola, Roberto 11 Grébert, Benoît 11 Haus, Emanuele 11 Ji, Shuguan 11 Xu, Junxiang 10 Maspero, Alberto 10 Shi, Yanling 10 Xu, XinDong 9 Cong, Hongzi 9 Yuan, Xiaoping 8 de la Llave, Rafael 8 Gao, Meina 8 Giuliani, Filippo 8 Liu, Jianjun 8 Mi, Lufang 7 Corsi, Livia 7 Guardia, Marcel 7 Lou, Zhaowei 7 Yan, Dongfeng 6 Delshams, Amadeu 6 Gao, Yixian 6 Li, Yong 6 M-Seara, Tere 6 Shi, Guanghua 5 Cheng, Hongyu 5 Gentile, Guido 5 Guzzo, Massimiliano 5 Il’kiv, Volodymyr Stepanovych 5 Iooss, Gérard 5 Kaloshin, Vadim Yu. 5 Kappeler, Thomas 5 Langella, Beatrice 5 Liang, Zhenguo 5 Strap, Nataliya Igorivna 5 Valdinoci, Enrico 4 Chen, Bochao 4 Lega, Elena 4 Liu, Shujuan 4 Ma, Mu 4 Shi, Yunfeng 4 You, Jiangong 4 Zhang, Kangkang 3 de Moura Almaraz, Sérgio 3 Ambrosetti, Antonio 3 Arioli, Gianni 3 Bernier, Joackim 3 Braaksma, Boele L. J. 3 Craig, Walter 3 Franzoi, Laura 3 Froeschlé, Claude 3 García-Azpeitia, Carlos 3 Ge, Chuanfang 3 Gidea, Marian 3 Iandoli, Felice 3 Kosovalić, Nemanja 3 Malchiodi, Andrea 3 Nowakowski, Andrzej F. 3 Premoselli, Bruno 3 Ren, Xiufang 3 Rui, Jie 3 Stolovitch, Laurent 3 Valls Anglés, Cláudia 3 Volyanska, Iryna I. 3 Wilkening, Jon A. 3 Wu, Yuan 3 Xue, Shuaishuai 3 Zanolin, Fabio 2 Bernard, Patrick 2 Bettiol, Renato G. 2 Bounemoura, Abed Bounemoura 2 Caicedo, Jose F. 2 Caldiroli, Paolo 2 Cardin, Franco 2 Castro, Alfonso 2 Chang, Jing 2 Chierchia, Luigi 2 Coti Zelati, Vittorio 2 d’Avenia, Pietro 2 Di Gregorio, Laura 2 Dipierro, Serena 2 Duque, Rodrigo 2 Ekeland, Ivar 2 Eliasson, L. Hakan 2 Esposito, Pierpaolo 2 Fečkan, Michal 2 Fokam, Jean-Marcel 2 Fortunati, Alessandro 2 Hebey, Emmanuel 2 Kuksin, Sergeĭ B. 2 Levi, Mark L. 2 Li, Hengyan ...and 218 more Authors all top 5 Cited in 111 Serials 45 Journal of Differential Equations 30 Journal of Dynamics and Differential Equations 24 Communications in Mathematical Physics 21 Journal of Mathematical Physics 16 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 12 Archive for Rational Mechanics and Analysis 11 Journal of Functional Analysis 11 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 11 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 11 Discrete and Continuous Dynamical Systems 8 Advances in Mathematics 7 Applicable Analysis 7 Journal of Mathematical Analysis and Applications 7 Nonlinearity 6 Calculus of Variations and Partial Differential Equations 6 Journal of the European Mathematical Society (JEMS) 5 Transactions of the American Mathematical Society 5 Bollettino dell’Unione Matematica Italiana 4 Inventiones Mathematicae 4 Celestial Mechanics and Dynamical Astronomy 4 Taiwanese Journal of Mathematics 4 Regular and Chaotic Dynamics 4 Communications in Nonlinear Science and Numerical Simulation 4 Discrete and Continuous Dynamical Systems. Series B 4 Communications on Pure and Applied Analysis 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Mathematische Zeitschrift 3 Proceedings of the American Mathematical Society 3 Chinese Annals of Mathematics. Series B 3 Physica D 3 Geometric and Functional Analysis. GAFA 3 Communications in Partial Differential Equations 3 Journal of Nonlinear Science 3 NoDEA. Nonlinear Differential Equations and Applications 3 Communications in Contemporary Mathematics 3 Nonlinear Analysis. Real World Applications 3 Water Waves 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Applied Mathematics and Computation 2 Duke Mathematical Journal 2 Manuscripta Mathematica 2 Mathematische Annalen 2 Memoirs of the American Mathematical Society 2 Quarterly of Applied Mathematics 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Journal of the American Mathematical Society 2 Journal de Mathématiques Pures et Appliquées. Neuvième Série 2 SIAM Journal on Mathematical Analysis 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 Journal of Mathematical Sciences (New York) 2 Mathematical Physics, Analysis and Geometry 2 Acta Mathematica Sinica. English Series 2 Qualitative Theory of Dynamical Systems 2 Advanced Nonlinear Studies 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 SIAM Journal on Applied Dynamical Systems 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 Boundary Value Problems 2 Proceedings of the Steklov Institute of Mathematics 2 Analysis and Mathematical Physics 2 Journal of Applied Analysis and Computation 2 Advances in Nonlinear Analysis 1 Communications on Pure and Applied Mathematics 1 Indian Journal of Pure & Applied Mathematics 1 Journal of Fluid Mechanics 1 Mathematical Notes 1 Ukrainian Mathematical Journal 1 Journal of Geometry and Physics 1 Acta Mathematica 1 Annales de l’Institut Fourier 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Archiv der Mathematik 1 Journal für die Reine und Angewandte Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Revista Matemática Iberoamericana 1 The Journal of Geometric Analysis 1 Proceedings of the National Academy of Sciences of the United States of America 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Bulletin of the American Mathematical Society. New Series 1 Continuum Mechanics and Thermodynamics 1 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI 1 Selecta Mathematica. New Series 1 Complexity 1 Electronic Research Announcements of the American Mathematical Society 1 Matematychni Metody ta Fizyko-Mekhanichni Polya 1 Nonlinear Dynamics 1 Abstract and Applied Analysis 1 Matematychni Studiï 1 Chaos 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Discrete Dynamics in Nature and Society 1 Annales Henri Poincaré 1 Differential Equations 1 Dynamical Systems 1 Portugaliae Mathematica. Nova Série 1 Milan Journal of Mathematics 1 Advances in Difference Equations 1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 1 Journal of Fixed Point Theory and Applications ...and 11 more Serials all top 5 Cited in 28 Fields 318 Partial differential equations (35-XX) 246 Dynamical systems and ergodic theory (37-XX) 52 Mechanics of particles and systems (70-XX) 37 Global analysis, analysis on manifolds (58-XX) 26 Differential geometry (53-XX) 24 Fluid mechanics (76-XX) 23 Ordinary differential equations (34-XX) 22 Mechanics of deformable solids (74-XX) 20 Quantum theory (81-XX) 14 Operator theory (47-XX) 6 Calculus of variations and optimal control; optimization (49-XX) 4 Functional analysis (46-XX) 4 Numerical analysis (65-XX) 4 Statistical mechanics, structure of matter (82-XX) 4 Relativity and gravitational theory (83-XX) 3 Optics, electromagnetic theory (78-XX) 2 Topological groups, Lie groups (22-XX) 2 Real functions (26-XX) 2 Difference and functional equations (39-XX) 2 Abstract harmonic analysis (43-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Approximations and expansions (41-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Convex and discrete geometry (52-XX) 1 Probability theory and stochastic processes (60-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year