Abstract
This paper is devoted to the existence of solutions for variational---hemivariational inequalities of elliptic type with nonhomogeneous Neumann boundary conditions at resonance as well as at nonresonance. Using the notion of Clarke's generalized gradient and the property of the first eigenfunction, we also build a Landesman-Lazer theory in the nonsmooth framework of variational---hemivariational inequalities of elliptic type. An application to a static frictional contact problem is provided.
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