. Quasi-periodic solutions of nonlinear Schrödinger equations on $\Bbb T^d$. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2011 ;22:223–236. Available from: https://doi.org/10.4171/RLM/597
. Birkhoff normal form and long time existence for periodic gravity water waves. Comm. Pure Appl. Math. [Internet]. 2023 ;76:1416–1494. Available from: https://doi.org/10.1002/cpa.22041
. A functional analysis approach to Arnold diffusion. Ann. Inst. H. Poincaré C Anal. Non Linéaire [Internet]. 2002 ;19:395–450. Available from: https://doi.org/10.1016/S0294-1449(01)00084-1
. First isola of modulational instability of Stokes waves in deep water.; 2024. Available from: https://arxiv.org/pdf/2401.14689
. Quasi-periodic solutions with Sobolev regularity of NLS on Td with a multiplicative potential. Journal of the European Mathematical Society. 2013 ;15:229-286.
. Quasi-periodic standing wave solutions of gravity-capillary water waves. Mem. Amer. Math. Soc. [Internet]. 2020 ;263:v+171. Available from: https://doi.org/10.1090/memo/1273
. Time periodic solutions of completely resonant Klein-Gordon equations on $\mathbbS^3$. Ann. Inst. H. Poincaré C Anal. Non Linéaire . 2024 .
. Cantor families of periodic solutions for wave equations via a variational principle. Advances in Mathematics. 2008 ;217:1671-1727.
. Stokes waves at the critical depth are modulationally unstable. Comm. Math. Phys. [Internet]. 2024 ;405:Paper No. 56, 67. Available from: https://doi.org/10.1007/s00220-023-04928-x
. Quasi-periodic oscillations for wave equations under periodic forcing. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 2005 ;16:109–116.
. Birkhoff normal form for gravity water waves. Water Waves [Internet]. 2021 ;3:117–126. Available from: https://doi.org/10.1007/s42286-020-00024-y
. An abstract Nash-Moser theorem with parameters and applications to PDEs. Annales de l'Institut Henri Poincare. Annales: Analyse Non Lineaire/Nonlinear Analysis. 2010 ;27:377-399.
. KAM for Vortex Patches. Regular and Chaotic Dynamics [Internet]. 2024 ;29(4):654 - 676. Available from: https://doi.org/10.1134/S1560354724540013
. Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems. Nonlinear Anal. 48 (2002) 481-504 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1279
. Quasi-periodic solutions of PDEs. In: Séminaire Laurent Schwartz–-Équations aux dérivées partielles et applications. Année 2011–2012. Séminaire Laurent Schwartz–-Équations aux dérivées partielles et applications. Année 2011–2012. École Polytech., Palaiseau; 2013. p. Exp. No. XXX, 11.
. Time quasi-periodic vortex patches of Euler equation in the plane. Invent. Math. [Internet]. 2023 ;233:1279–1391. Available from: https://doi.org/10.1007/s00222-023-01195-4
. Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems. [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1554
. Periodic solutions of nonlinear wave equations with general nonlinearities. Comm. Math. Phys. [Internet]. 2003 ;243:315–328. Available from: https://doi.org/10.1007/s00220-003-0972-8
. Some remarks on a variational approach to Arnold's diffusion. Discrete Contin. Dynam. Systems [Internet]. 1996 ;2:307–314. Available from: https://doi.org/10.3934/dcds.1996.2.307
. KAM theory for the Hamiltonian derivative wave equation. Annales Scientifiques de l'Ecole Normale Superieure. 2013 ;46:301-373.
. Quasi-periodic solutions of nonlinear wave equations on the $d$-dimensional torus. EMS Publishing House, Berlin; 2020 p. xv+358.
. Cantor families of periodic solutions of wave equations with C k nonlinearities. Nonlinear Differential Equations and Applications. 2008 ;15:247-276.
. Periodic solutions of nonlinear wave equations with non-monotone forcing terms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 16 (2005), no. 2, 117-124 [Internet]. 2005 . Available from: http://hdl.handle.net/1963/4581
. Quasi-periodic solutions of completely resonant forced wave equations. Comm. Partial Differential Equations [Internet]. 2006 ;31:959–985. Available from: https://doi.org/10.1080/03605300500358129
. Diffusion time and splitting of separatrices for nearly integrable. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., 2000, 11, 235 [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1547