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Title: Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian
Author: Aizicovici, Sergiu
Papageorgiou, Nikolaos
Staicu, Vasile
Keywords: Degree theory
Scalar p-Laplacian
Periodic solutions
Local minimizers
Solutions of constant sign
Issue Date: 2007
Publisher: Elsevier
Abstract: We consider a nonlinear periodic problem driven by the scalar p-Laplacian with a nonsmooth potential (hemivariational inequality). Using the degree theory for multivalued perturbations of +(S)-operators and the spectrum of a class of weighted eigenvalue problems for the scalar p-Laplacian, we prove the existence of at least three distinct nontrivial solutions, two of which have constant sign.
Peer review: yes
ISSN: 0022-0396
Appears in Collections:DMat - Artigos

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