Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential

An infinite dimensional KAM theorem and its application to the two dimensional cubic Schrödinger equation

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Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs

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Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces

(2011) Massimiliano Berti et al.   DUKE MATHEMATICAL JOURNAL

KAM for the nonlinear Schrödinger equation

(2010) L. Hakan Eliasson et al.   ANNALS OF MATHEMATICS

An abstract Nash–Moser theorem with parameters and applications to PDEs

(2009) M. Berti et al.   ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE

Sobolev Periodic Solutions of Nonlinear Wave Equations in Higher Spatial Dimensions

(2009) Massimiliano Berti et al.   ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS

On Reducibility of Schrödinger Equations with Quasiperiodic in Time Potentials

(2008) Håkan L. Eliasson et al.   COMMUNICATIONS IN MATHEMATICAL PHYSICS

Cantor families of periodic solutions of wave equations with C k nonlinearities

(2008) Massimiliano Berti et al.   NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS