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In this paper we discuss a class of normal forms of the completely resonant non--linear Schr\"odinger equation on a torus.
The number of integral points on arcs and ovals
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Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
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Periodic solutions for a class of nonlinear partial differential equations in higher dimension
G. Gentile and M. Procesi · 2009
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