A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential |
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Authors: | Giuseppina Barletta Nikolaos S. Papageorgiou |
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Affiliation: | (1) Dipartimento Patrimonio Architettonico e Urbanistico, Facoltà di Architettura, Università di Reggio Calabria, Salita Melissari, 89124 Reggio Calabria, Italy;(2) Departement of Mathematics, National Technical University, Zagrafou Campus, Athens, 15780, Greece |
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Abstract: | We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). By combining variational with degree theoretic techniques, we prove a multiplicity theorem. In the process, we also prove a result of independent interest relating and local minimizers, of a nonsmooth locally Lipschitz functional. |
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Keywords: | Neumann problem p-Laplacian Degree theory Local minimizer Lagrange multiplier rule Nonsmooth potential |
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