A hemivariational inequality involving -Laplacian on an infinite strip

Abstract: This paper deals with an eigenvalue problem for hemivariational inequalities on domains of the type ( is a bounded open subset of , ) and it involves concave–convex nonlinearities. Under suitable conditions on the nonlinearities, two nontrivial solutions are obtained which belong to a special closed convex cone of whenever the eigenvalues are of certain range. Our approach is variational based on the theories of non-smooth analysis. Our results are a generalization of the case of Laplacian from A. Kristály, et al. to the case of -Laplacian. [Copyright &y& Elsevier]