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On a Neumann problem with $$p$$-Laplacian and non-smooth potential. (English) Zbl 1212.35084
Summary: Three existence results for a homogeneous Neumann problem with partial $$p$$-Laplacian and non-smooth potential (i.e., hemivariational inequality) are established through a locally Lipschitz continuous version of the classical mountain pass theorem.

##### MSC:
 35J20 Variational methods for second-order elliptic equations 49J40 Variational inequalities