Existence and uniqueness of positive solutions for the Neumann p-Laplacian |
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| Authors: | Leszek Gasiński Nikolaos S Papageorgiou |
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| Institution: | 1. Faculty of Mathematics and Computer Science, Jagiellonian University, ul. ?ojasiewicza 6, 30-348, Kraków, Poland
2. Department of Mathematics, National Technical University, Zografou Campus, 15780, Athens, Greece
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| Abstract: | We consider a nonlinear Neumann problem driven by the p-Laplacian and with a Carathéodory reaction which satisfies only a unilateral growth restriction. Using the principal eigenvalue of an eigenvalue problem involving the Neumann p-Laplacian plus an indefinite potential, we produce necessary and sufficient conditions for the existence and uniqueness of positive smooth solutions. |
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