Berti M, Cuccagna S, Gancedo F, Scrobogna S. Paralinearization and extended lifespan for solutions of the $ ?$-SQG sharp front equation. Advances in Mathematics [Internet]. 2025  ;460. Available from: https://www.sciencedirect.com/science/article/pii/S0001870824005504

Berti M, Maspero A, Ventura P. First isola of modulational instability of Stokes waves in deep water.; 2024. Available from: https://arxiv.org/pdf/2401.14689

Berti M, Corsi L, Maspero A, Ventura P. Infinitely many isolas of modulational instability for Stokes waves.; 2024.

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, 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, 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, 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, Langella B, Silimbani D. Time periodic solutions of completely resonant Klein-Gordon equations on $\mathbbS^3$.  Ann. Inst. H. Poincaré C Anal. Non Linéaire . 2024  .

Asselle L, Benedetti G, Berti M. Zoll magnetic systems on the two-torus: A Nash?Moser construction. Advances in Mathematics [Internet]. 2024  ;452:109826. Available from: https://www.sciencedirect.com/science/article/pii/S0001870824003414

Berti M, Maspero A, Ventura P. 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

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, 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, Hassainia Z, Masmoudi N. 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

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, Maspero A, Ventura P. 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

Berti M, Maspero A, Ventura P. 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

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, 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, 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, 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, Bolle P. Quasi-periodic solutions of nonlinear wave equations on the $d$-dimensional torus. EMS Publishing House, Berlin; 2020 p. xv+358.

Baldi P, Berti M, Montalto R. KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. Mathematische Annalen. 2014  :1-66.

Baldi P, Berti M, Montalto R. KAM for quasi-linear KdV. C. R. Math. Acad. Sci. Paris [Internet]. 2014  ;352(7-8):603-607. Available from: http://urania.sissa.it/xmlui/handle/1963/35067

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, Biasco L, Procesi M. Existence and stability of quasi-periodic solutions for derivative wave equations. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 2013  ;24:199-214.

Berti M, Biasco L, Procesi M. KAM theory for the Hamiltonian derivative wave equation. Annales Scientifiques de l'Ecole Normale Superieure. 2013  ;46:301-373.

Baldi P, Berti M, Montalto R. A note on KAM theory for quasi-linear and fully nonlinear forced KdV. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 24 (2013), no. 3: 437?450. 2013  .

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, Bolle P. Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Nonlinearity. 2012  ;25:2579-2613.

Berti M, Biasco L. Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs. Communications in Mathematical Physics. 2011  ;305:741-796.

Bambusi D, Berti M, Magistrelli E. Degenerate KAM theory for partial differential equations. Journal of Differential Equations. 2011  ;250:3379-3397.

Berti M, Procesi M. Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. Duke Mathematical Journal. 2011  ;159(3).

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, 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, Bolle P. Cantor families of periodic solutions for completely resonant wave equations. Frontiers of Mathematics in China. 2008  ;3:151-165.

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. Cantor families of periodic solutions of wave equations with C k nonlinearities. Nonlinear Differential Equations and Applications. 2008  ;15:247-276.

Baldi P, Berti M. Forced Vibrations of a Nonhomogeneous String. SIAM J. Math. Anal. 40 (2008) 382-412 [Internet]. 2008  . Available from: http://hdl.handle.net/1963/2643

Berti M. Variational methods for Hamiltonian PDEs. NATO Science for Peace and Security Series B: Physics and Biophysics. 2008  :391-420.

Bambusi D, Berti M. A Birkhoff-Lewis-Type Theorem for Some Hamiltonian PDEs. SIAM J. Math. Anal. 37 (2006) 83-102 [Internet]. 2006  . Available from: http://hdl.handle.net/1963/2159

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. 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

Baldi P, Berti M. Periodic solutions of nonlinear wave equations for asymptotically full measure sets of frequencies. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 2006  ;17:257-277.

Berti M, Biasco L. 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

Berti M, Bolle P. Bifurcation of free vibrations for completely resonant wave equations. Boll. Unione Mat. Ital. Sez. B 7 (2004) 519-528 [Internet]. 2004  . Available from: http://hdl.handle.net/1963/2245

Berti M. Soluzioni periodiche di PDEs Hamiltoniane. Bollettino dell\\\'Unione Matematica Italiana Serie 8 7-B (2004), p. 647-661 [Internet]. 2004  . Available from: http://hdl.handle.net/1963/4582

Berti M, Biasco L, Bolle P. 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

Berti M. Arnold diffusion: a functional analysis approach. Pr. Inst. Mat. Nats. Akad. Nauk Ukr. Mat. Zastos., 43, Part 1, 2, Nats?onal. Akad. Nauk Ukraïni, ?nst. Mat., Kiev, 2002. 2002  .

Berti M, Carminati C. 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

Biasco L, Berti M, Bolle P. An optimal fast-diffusion variational method for non isochronous system.  [Internet]. 2002  . Available from: http://hdl.handle.net/1963/1579

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, 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, Bolle P. Arnold's Diffusion in nearly integrable isochronous Hamiltonian systems.  [Internet]. 2000  . Available from: http://hdl.handle.net/1963/1554

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