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