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 ▫$W^{1,p}_n$▫ and ▫$C^1_n$▫ local minimizers, of a nonsmooth locally Lipschitz functional.
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