Multiple Solutions for Nonhomogeneous Neumann Differential Inclusion Problems by the p(x)‎-Laplacian

الملخص EN

A class of nonlinear Neumann problems driven by p(x)-Laplacian witha nonsmooth locally Lipschitz potential (hemivariational inequality) was considered.

The approach used in this paper is the variational method for locally Lipschitz functions.

More precisely, Weierstrass theorem and Mountain Passtheorem are used to prove the existence of at least two nontrivial solutions.