TY - JOUR
T1 - Forced vibrations of wave equations with non-monotone nonlinearities
JF - Ann. Inst. H. PoincarĂ© Anal. Non LinĂ©aire 23 (2006) 439-474
Y1 - 2006
A1 - Massimiliano Berti
A1 - Luca Biasco
AB - We prove existence and regularity of periodic in time solutions of completely resonant nonlinear forced wave equations with Dirichlet boundary conditions for a large class of non-monotone forcing terms. Our approach is based on a variational Lyapunov-Schmidt reduction. It turns out that the infinite dimensional bifurcation equation exhibits an intrinsic lack of compactness. We solve it via a minimization argument and a-priori estimate methods inspired to regularity theory of Rabinowitz.
UR - http://hdl.handle.net/1963/2160
U1 - 2084
U2 - Mathematics
U3 - Functional Analysis and Applications
ER -