Positive solutions for nonlinear hemivariational inequalities |
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| Authors: | Shouchuan Hu |
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| Institution: | a Department of Mathematics, Southwest Missouri State University, Springfield, MO 65804, USA
b Department of Mathematics, National Technical University of Athens, Zografou Campus, Athens 15780, Greece |
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| Abstract: | In this paper we study the existence of positive solutions for nonlinear problems driven by the p-Laplacian or more generally, by multivalued p-Laplacian-like operators. Both problems have a nonsmooth locally Lipschitz potential (hemivariational inequalities). Using variational methods based on the nonsmooth critical point theory, we prove two existence results with the p-Laplacian and multivalued p-Laplacian-like operators. |
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| Keywords: | p-Laplacian p-Laplacian-type Nonsmooth critical point theory Locally Lipschitz functions Generalized subdifferentials Nonsmooth C-condition |
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