%0 Journal Article %J Boll. Unione Mat. Ital. Sez. B 7 (2004) 519-528 %D 2004 %T Bifurcation of free vibrations for completely resonant wave equations %A Massimiliano Berti %A Philippe Bolle %X We prove existence of small amplitude, 2 pi/omega -periodic in time solutions of completely resonant nonlinear wave equations with Dirichlet boundary conditions for any frequency omega belonging to a Cantor-like set of positive measure and for a generic set of nonlinearities. The proof relies on a suitable Lyapunov-Schmidt decomposition and a variant of the Nash-Moser Implicit Function Theorem. %B Boll. Unione Mat. Ital. Sez. B 7 (2004) 519-528 %G en_US %U http://hdl.handle.net/1963/2245 %1 1999 %2 Mathematics %3 Functional Analysis and Applications %$ Submitted by Andrea Wehrenfennig (andreaw@sissa.it) on 2007-10-17T09:55:20Z\\nNo. of bitstreams: 1\\n0409052v1.pdf: 145050 bytes, checksum: 68913e2c100ffa7488447933554c30e7 (MD5)