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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, 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, 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, Biasco L, Bolle P. 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
Berti M, Maspero A, Murgante F. 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
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. 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, 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, Feola R, Franzoi L. Quadratic life span of periodic gravity-capillary water waves. Water Waves [Internet]. 2021 ;3:85–115. Available from: https://doi.org/10.1007/s42286-020-00036-8
Berti M. 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.
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.
Berti M, Delort J-M. Almost global solutions of capillary-gravity water waves equations on the circle. Springer, Cham; Unione Matematica Italiana, [Bologna]; 2018 p. x+268. Available from: https://doi.org/10.1007/978-3-319-99486-4
Berti M. KAM for Vortex Patches. Regular and Chaotic Dynamics [Internet]. 2024 ;29(4):654 - 676. Available from: https://doi.org/10.1134/S1560354724540013
Berti M, Bolle P. Cantor families of periodic solutions for wave equations via a variational principle. Advances in Mathematics. 2008 ;217:1671-1727.
Berti M, Bolle P. 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
Berti M, Feola R, Pusateri F. 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
Berti M, Bolle P. 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
Berti M, Montalto R. 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
Berti M. Nonlinear oscillations of Hamiltonian PDEs. Birkhäuser Boston, Inc., Boston, MA; 2007 p. xiv+180.
Berti M, Bolle P, Procesi M. 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.
Berti M, Maspero A, Ventura P. 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
Berti M, Procesi M. 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.
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

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