Article ID Journal Published Year Pages File Type
843617 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract

In this paper we consider a differential inclusion problem involving the p(x)p(x)-Laplacian of the type {− div(|∇u|p(x)−2∇u)+λ(x)|u|p(x)−2u∈∂F(x,u)+∂G(x,u)in Ω,∂u∂γ=0 on ∂Ω. We prove the existence of infinitely many solutions of this problem under suitable hypotheses by applying a non-smooth Ricceri-type variational principle and the theory of the variable exponent Sobolev spaces.

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