Multiple solutions for an inclusion quasilinear problem with nonhomogeneous boundary condition through Orlicz–Sobolev spaces

Abstract

In this work, we study multiplicity of nontrivial solution for the following class of differential inclusion problems with nonhomogeneous Neumann condition through Orlicz–Sobolev spaces, [Formula: see text] where [Formula: see text] is a domain, [Formula: see text] and [Formula: see text] is the generalized gradient of [Formula: see text]. The main tools used are Variational Methods for Locally Lipschitz Functional and Critical Point Theory.