Multiple positive solutions for nonlinear eigenvalue problems with the p-Laplacian |
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Authors: | Shouchuan Hu Nikolas S. Papageorgiou |
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Affiliation: | 1. Department of Mathematics, Southwest Missouri State University, Springfield, MO 65804, USA;2. Department of Mathematics, National Technical University, Zografou Campus, Athens 15780, Greece |
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Abstract: | In this paper we consider a nonlinear eigenvalue problem driven by the p-Laplacian differential operator and with a nonsmooth potential. Using degree theoretic arguments based on the degree map for certain operators of monotone type, we show that the problem has at least two nontrivial positive solutions as the parameter λ>0 varies in a half-line. |
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Keywords: | 35J20 35J25 35J60 35J70 |
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