Nonlocal Neumann Problem with Critical Exponent from the Point of View of the Trace

Abstract

In this work, we are concerned with questions of existence and multiplicity of solutions for a nonlocal and non-homogeneous Neumann boundary value problems involving the p(x)-Laplace operator and critical growth, from the point of view of the trace, via a truncation argument on generalized Lebesgue-Sobolev spaces.