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Multiple nontrivial solutions for nonlinear periodic problems with the p-Laplacian |
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| Authors: | Sergiu Aizicovici Nikolaos S Papageorgiou Vasile Staicu |
| Affiliation: | aDepartment of Mathematics, Ohio University, Athens, OH 45701, USA;bDepartment of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece;cDepartment of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal |
| 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. |
| Keywords: | Degree theory Scalar p-Laplacian Periodic solutions Local minimizers Solutions of constant sign |
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