04-135 Massimiliano Berti, Philippe Bolle

Bifurcation of free vibrations for completely resonant wave equations (30K, Latex) Apr 28, 04

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Abstract. We prove existence of small amplitude, $2\pi \slash \om$-periodic in time solutions of completely resonant nonlinear wave equations for any frequency $ \om $ belonging to a Cantor-like set of positive measure. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem.

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