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Berti M. Variational methods for Hamiltonian PDEs. NATO Science for Peace and Security Series B: Physics and Biophysics. 2008 :391-420.
Berti M. KAM theory for partial differential equations. Anal. Theory Appl. [Internet]. 2019 ;35:235–267. Available from: https://doi.org/10.4208/ata.oa-0013
Berti M, Bolle P. 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
Berti M, Bolle P. A Nash-Moser approach to KAM theory. In: Hamiltonian partial differential equations and applications. Vol. 75. Hamiltonian partial differential equations and applications. Fields Inst. Res. Math. Sci., Toronto, ON; 2015. pp. 255–284. Available from: https://doi.org/10.1007/978-1-4939-2950-4_9
Berti M, Biasco L, Procesi M. 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
Berti M, Feola R, Procesi M, Terracina S. Reducibility of Klein-Gordon equations with maximal order perturbations. [Internet]. 2024 . Available from: https://arxiv.org/abs/2402.11377
Berti M, Maspero A, Murgante F. Hamiltonian paradifferential Birkhoff normal form for water waves. Regul. Chaotic Dyn. [Internet]. 2023 ;28:543–560. Available from: https://doi.org/10.1134/S1560354723040032
Berti M, Bolle P. Cantor families of periodic solutions for completely resonant nonlinear wave equations. Duke Math. J. 134 (2006) 359-419 [Internet]. 2006 . Available from: http://hdl.handle.net/1963/2161
Berti M, Biasco L, Valdinoci E. Periodic orbits close to elliptic tori and applications to the three-body problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 2004 ;3:87–138.
Berti M, Maspero A, Murgante F. Local well posedness of the Euler-Korteweg equations on {$\Bbb T^d$}. Journal of Dynamics and Differential Equations [Internet]. 2021 ;33(3):1475 - 1513. Available from: https://doi.org/10.1007/s10884-020-09927-3
Berti M, Bolle P. Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Nonlinearity. 2012 ;25:2579-2613.
Berti M, Franzoi L, Maspero A. Traveling quasi-periodic water waves with constant vorticity. Arch. Ration. Mech. Anal. [Internet]. 2021 ;240:99–202. Available from: https://doi.org/10.1007/s00205-021-01607-w
Berti M. Nonlinear oscillations of Hamiltonian PDEs. Birkhäuser Boston, Inc., Boston, MA; 2007 p. xiv+180.
Berti M, Matzeu M, Valdinoci E. On periodic elliptic equations with gradient dependence. Commun. Pure Appl. Anal. [Internet]. 2008 ;7:601–615. Available from: https://doi.org/10.3934/cpaa.2008.7.601
Berti M, Maspero A, Ventura P. On the analyticity of the Dirichlet-Neumann operator and Stokes waves. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2022 ;33:611–650. Available from: https://doi.org/10.4171/rlm/983
Berti M, Bolle P. Fast Arnold diffusion in systems with three time scales. Discrete Contin. Dyn. Syst. [Internet]. 2002 ;8:795–811. Available from: https://doi.org/10.3934/dcds.2002.8.795
Berti M, Bolle P. Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions. Archive for Rational Mechanics and Analysis. 2010 ;195:609-642.
Berti M, Maspero A. Long time dynamics of Schrödinger and wave equations on flat tori. J. Differential Equations [Internet]. 2019 ;267:1167–1200. Available from: https://doi.org/10.1016/j.jde.2019.02.004
Berti M, Corsi L, Maspero A, Ventura P. Infinitely many isolas of modulational instability for Stokes waves.; 2024.
Berti M, Malchiodi A. Non-compactness and multiplicity results for the Yamabe problem on Sn. J. Funct. Anal. 180 (2001) 210-241 [Internet]. 2001 . Available from: http://hdl.handle.net/1963/1345
Berti M. KAM for PDEs. Boll. Unione Mat. Ital. [Internet]. 2016 ;9:115–142. Available from: https://doi.org/10.1007/s40574-016-0067-z
Berti M, Cuccagna S, Gancedo F, Scrobogna S. Paralinearization and extended lifespan for solutions of the $ α$-SQG sharp front equation. [Internet]. 2023 . Available from: https://arxiv.org/abs/2310.15963
Berti M, Franzoi L, Maspero A. Pure gravity traveling quasi-periodic water waves with constant vorticity. Comm. Pure Appl. Math. [Internet]. 2024 ;77:990–1064. Available from: https://doi.org/10.1002/cpa.22143
Berti M. Periodic solutions of Hamiltonian PDEs. Boll. Unione Mat. Ital. Sez. B Artic. Ric. Mat. (8). 2004 ;7:647–661.
Berti M, Bolle P. Quasi-periodic solutions with Sobolev regularity of NLS on Td with a multiplicative potential. Journal of the European Mathematical Society. 2013 ;15:229-286.

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