Positive Solutions for Nonlinear Periodic Problems with the Scalar p-Laplacian |
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| Authors: | Zdzisław Denkowski Leszek Gasiński Nikolaos S Papageorgiou |
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| Institution: | 1. Institute of Computer Science, Jagiellonian University, ul. Nawojki 11, 30072, Kraków, Poland
2. Department of Mathematics, Zografou Campus, National Technical University, Athens, 15780, Greece
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| Abstract: | We study the existence of positive solutions for a nonlinear periodic problem driven by the scalar p-Laplacian and having a nonsmooth potential. We impose a nonuniform nonresonance condition at +?∞ and a uniform nonresonance condition at 0?+?. Using degree theoretic argument based on a fixed point index for multifunctions, we prove the existence of a strict positive solution. |
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