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Periodic solutions for second order differential inclusions with the scalar p-Laplacian |
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| Authors: | Sergiu Aizicovici |
| Affiliation: | a Department of Mathematics, Ohio University, Athens, OH 45701, USA b Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece c Department of Mathematics, Aveiro University, 3810-193 Aveiro, Portugal |
| Abstract: | We study periodic problems driven by the scalar p-Laplacian with a multivalued right-hand side nonlinearity. We prove two existence theorems. In the first, we assume nonuniform nonresonance conditions between two successive eigenvalues of the negative p-Laplacian with periodic boundary conditions. In the second, we employ certain Landesman-Lazer type conditions. Our approach is based on degree theory. |
| Keywords: | Multifunction Scalar p-Laplacian Carathé odory function Leray-Schauder degree Eigenvalues of p-Laplacian Nonuniform nonresonance Landesman-Lazer conditions |
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