Existence of two solutions for quasilinear periodic differential equations with discontinuities
Nikolaos S. Papageorgiou, Francesca Papalini (2002)
Archivum Mathematicum
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In this paper we examine a quasilinear periodic problem driven by the one- dimensional -Laplacian and with discontinuous forcing term . By filling in the gaps at the discontinuity points of we pass to a multivalued periodic problem. For this second order nonlinear periodic differential inclusion, using variational arguments, techniques from the theory of nonlinear operators of monotone type and the method of upper and lower solutions, we prove the existence of at least two non trivial...