KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation P Baldi, M Berti, R Montalto Mathematische Annalen 359 (1), 471-536, 2014 | 174 | 2014 |
Quasi-periodic solutions with Sobolev regularity of NLS on Td with a multiplicative potential. M Berti, P Bolle Journal of the European Mathematical Society (EMS Publishing) 15 (1), 2013 | 157 | 2013 |
Time quasi-periodic gravity water waves in finite depth P Baldi, M Berti, E Haus, R Montalto Inventiones mathematicae 214 (2), 739-911, 2018 | 156 | 2018 |
KAM theory for the Hamiltonian derivative wave equation M Berti, L Biasco, M Procesi Annales scientifiques de l'École Normale Supérieure 46 (2), 301-373, 2013 | 126 | 2013 |
KAM for autonomous quasi-linear perturbations of KdV P Baldi, M Berti, R Montalto Annales de l'Institut Henri Poincaré C, Analyse non linéaire 33 (6), 1589-1638, 2016 | 125 | 2016 |
Quasi-periodic standing wave solutions of gravity-capillary water waves M Berti, R Montalto American mathematical society 263 (1273), 2020 | 119 | 2020 |
KAM for reversible derivative wave equations M Berti, L Biasco, M Procesi arXiv preprint arXiv:1211.2136, 2012 | 117 | 2012 |
Almost global solutions of capillary-gravity water waves equations on the circle M Berti, JM Delort Springer International Publishing, 2018 | 107 | 2018 |
Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential M Berti, P Bolle Nonlinearity 25 (9), 2579, 2012 | 106 | 2012 |
Cantor families of periodic solutions for completely resonant nonlinear wave equations M Berti, P Bolle | 106 | 2006 |
An abstract Nash–Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds M Berti, L Corsi, M Procesi Communications in Mathematical Physics 334 (3), 1413-1454, 2015 | 98 | 2015 |
Periodic solutions of nonlinear wave equations with general nonlinearities M Berti, P Bolle Communications in mathematical physics 243, 315-328, 2003 | 93 | 2003 |
Drift in phase space: a new variational mechanism with optimal diffusion time M Berti, L Biasco, P Bolle Journal de mathématiques pures et appliquées 82 (6), 613-664, 2003 | 87 | 2003 |
Nonlinear oscillations of Hamiltonian PDEs M Berti Springer Science & Business Media, 2007 | 83 | 2007 |
Branching of Cantor manifolds of elliptic tori and applications to PDEs M Berti, L Biasco Communications in mathematical physics 305 (3), 741-796, 2011 | 78 | 2011 |
An abstract Nash–Moser theorem with parameters and applications to PDEs M Berti, P Bolle, M Procesi Annales de l'Institut Henri Poincaré C, Analyse non linéaire 27 (1), 377-399, 2010 | 77 | 2010 |
A functional analysis approach to Arnold diffusion M Berti, P Bolle Annales de l'Institut Henri Poincaré C, Analyse non linéaire 19 (4), 395-450, 2002 | 65 | 2002 |
Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions M Berti, P Bolle Archive for Rational Mechanics and Analysis 195 (2), 609-642, 2010 | 64 | 2010 |
Traveling quasi-periodic water waves with constant vorticity M Berti, L Franzoi, A Maspero Archive for Rational Mechanics and Analysis 240, 99-202, 2021 | 63 | 2021 |
Multiplicity of periodic solutions of nonlinear wave equations M Berti, P Bolle Nonlinear Analysis: Theory, Methods & Applications 56 (7), 1011-1046, 2004 | 61 | 2004 |