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. KAM for Reversible Derivative Wave Equations. Arch. Ration. Mech. Anal. [Internet]. 2014 ;212(3):905-955. Available from: http://urania.sissa.it/xmlui/handle/1963/34646
. 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
. Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs. Communications in Mathematical Physics. 2011 ;305:741-796.
. Benjamin-Feir instability of Stokes waves. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2022 ;33:399–412. Available from: https://doi.org/10.4171/rlm/975
. Homoclinics and chaotic behaviour for perturbed second order systems. Ann. Mat. Pura Appl. (4) [Internet]. 1999 ;176:323–378. Available from: https://doi.org/10.1007/BF02506001
. Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. Duke Mathematical Journal. 2011 ;159(3).
. Large KAM tori for perturbations of the defocusing NLS equation. Astérisque. 2018 :viii+148.
. Optimal stability and instability results for a class of nearly integrable Hamiltonian systems. Atti.Accad.Naz.Lincei Cl.Sci.Fis.Mat.Natur.Rend.Lincei (9) Mat.Appl.13(2002),no.2,77-84 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1596
. An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Comm. Math. Phys. [Internet]. 2015 ;334:1413–1454. Available from: https://doi.org/10.1007/s00220-014-2128-4
. Benjamin-Feir instability of Stokes waves in finite depth. Arch. Ration. Mech. Anal. [Internet]. 2023 ;247:Paper No. 91, 54. Available from: https://doi.org/10.1007/s00205-023-01916-2
. Forced vibrations of wave equations with non-monotone nonlinearities. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 439-474 [Internet]. 2006 . Available from: http://hdl.handle.net/1963/2160
. Multiplicity of periodic solutions of nonlinear wave equations. Nonlinear Anal. [Internet]. 2004 ;56:1011–1046. Available from: https://doi.org/10.1016/j.na.2003.11.001
. Heteroclinic solutions for perturbed second order systems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 1997 ;8:251–262.
. Variational methods for Hamiltonian PDEs. NATO Science for Peace and Security Series B: Physics and Biophysics. 2008 :391-420.
. 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
. Large KAM tori for quasi-linear perturbations of KdV. Arch. Ration. Mech. Anal. [Internet]. 2021 ;239:1395–1500. Available from: https://doi.org/10.1007/s00205-020-01596-2
. Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence. Annals of PDEs [Internet]. 2022 . Available from: https://arxiv.org/abs/2212.12255
. Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems. [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1554
. Quasi-periodic water waves. J. Fixed Point Theory Appl. [Internet]. 2017 ;19:129–156. Available from: https://doi.org/10.1007/s11784-016-0375-z
. Nonlinear vibrations of completely resonant wave equations. In: Fixed point theory and its applications. Vol. 77. Fixed point theory and its applications. Polish Acad. Sci. Inst. Math., Warsaw; 2007. pp. 49–60. Available from: https://doi.org/10.4064/bc77-0-4
. Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Nonlinearity. 2012 ;25:2579-2613.
. Full description of Benjamin-Feir instability of Stokes waves in deep water. Invent. Math. [Internet]. 2022 ;230:651–711. Available from: https://doi.org/10.1007/s00222-022-01130-z
. A functional analysis approach to Arnold diffusion. In: Symmetry and perturbation theory (Cala Gonone, 2001). Symmetry and perturbation theory (Cala Gonone, 2001). World Sci. Publ., River Edge, NJ; 2001. pp. 29–31. Available from: https://doi.org/10.1142/9789812794543_0004
. Drift in phase space: a new variational mechanism with optimal diffusion time. J. Math. Pures Appl. 82 (2003) 613-664 [Internet]. 2003 . Available from: http://hdl.handle.net/1963/3020
. KAM theory for partial differential equations. Anal. Theory Appl. [Internet]. 2019 ;35:235–267. Available from: https://doi.org/10.4208/ata.oa-0013