Forced vibrations of wave equations with non-monotone nonlinearities

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dc.creatorBerti, M.
dc.creatorBiasco, L.
dc.date2004-10-29
dc.date.accessioned2026-07-07T05:13:47Z
dc.date.available2026-07-07T05:13:47Z
dc.descriptionWe 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
dc.identifierhttps://arxiv.org/abs/math/0410619
dc.identifierhttp://arxiv.org/abs/math/0410619
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/73044
dc.subjectAnalysis of PDEs
dc.subject35L05, 35L20, 35B10, 37K10
dc.titleForced vibrations of wave equations with non-monotone nonlinearities
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