 04135 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 Cantorlike set of positive measure.
The proof relies on a suitable LyapunovSchmidt decomposition
and a variant of the NashMoser Implicit Function Theorem.
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