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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
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