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 $W_n^{1,p}$ and $C_n^1$ local minimizers, of a nonsmooth locally Lipschitz functional.

A multiplicity theorem for the Neumann p-Laplacian with an asymmetric nonsmooth potential

BARLETTA, Giuseppina;
2007-01-01

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 $W_n^{1,p}$ and $C_n^1$ local minimizers, of a nonsmooth locally Lipschitz functional.
Neumann problem; p-Laplacian; Degree theory
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/2917
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