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 | 169 | 2014 |
Time quasi-periodic gravity water waves in finite depth P Baldi, M Berti, E Haus, R Montalto Inventiones mathematicae 214 (2), 739-911, 2018 | 147 | 2018 |
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 | 124 | 2016 |
Quasi-periodic standing wave solutions of gravity-capillary water waves M Berti, R Montalto American mathematical society 263 (1273), 2020 | 115 | 2020 |
Reducibility of first order linear operators on tori via Moser's theorem R Feola, F Giuliani, R Montalto, M Procesi Journal of Functional Analysis 276 (3), 932-970, 2019 | 50 | 2019 |
A Reducibility Result for a Class of Linear Wave Equations on R Montalto International Mathematics Research Notices 2019 (6), 1788-1862, 2019 | 49 | 2019 |
Quasi-periodic solutions of forced Kirchhoff equation R Montalto Nonlinear Differential Equations and Applications NoDEA 24, 1-71, 2017 | 43 | 2017 |
KAM for autonomous quasi-linear perturbations of mKdV P Baldi, M Berti, R Montalto Bollettino dell'Unione Matematica Italiana 9, 143-188, 2016 | 42 | 2016 |
Quasi-periodic incompressible Euler flows in 3D P Baldi, R Montalto Advances in Mathematics 384, 107730, 2021 | 37 | 2021 |
Reducibility of Non-Resonant Transport Equation on with Unbounded Perturbations D Bambusi, B Langella, R Montalto Annales Henri Poincaré 20, 1893-1929, 2019 | 34 | 2019 |
Quasi-periodic solutions for the forced Kirchhoff equation on L Corsi, R Montalto Nonlinearity 31 (11), 5075, 2018 | 33 | 2018 |
KAM for quasi-linear KdV P Baldi, M Berti, R Montalto Comptes Rendus. Mathématique 352 (7-8), 603-607, 2014 | 32 | 2014 |
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III D Bambusi, R Montalto Journal of Mathematical Physics 59 (12), 2018 | 27 | 2018 |
Linear Schrödinger equation with an almost periodic potential R Montalto, M Procesi SIAM Journal on Mathematical Analysis 53 (1), 386-434, 2021 | 23 | 2021 |
Large KAM tori for perturbations of the defocusing NLS equation M Berti, T Kappeler, R Montalto Société Mathématique de France, 2018 | 23 | 2018 |
On the growth of Sobolev norms for a class of linear Schrödinger equations on the torus with superlinear dispersion R Montalto Asymptotic Analysis 108 (1-2), 85-114, 2018 | 23 | 2018 |
Large KAM tori for quasi-linear perturbations of KdV M Berti, T Kappeler, R Montalto Archive for Rational Mechanics and Analysis 239 (3), 1395-1500, 2021 | 18 | 2021 |
On the spectrum of the Schrödinger operator on 𝕋d: a normal form approach D Bambusi, B Langella, R Montalto Communications in Partial differential equations 45 (4), 303-320, 2020 | 16 | 2020 |
Quasi-periodic water waves M Berti, R Montalto Journal of Fixed Point Theory and Applications 19, 129-156, 2017 | 16 | 2017 |
Quadratic lifespan and growth of Sobolev norms for derivative Schrödinger equations on generic tori R Feola, R Montalto Journal of Differential Equations 312, 276-316, 2022 | 15 | 2022 |