Article ID Journal Published Year Pages File Type
842449 Nonlinear Analysis: Theory, Methods & Applications 2009 9 Pages PDF
Abstract

In this paper we consider differential inclusion problem involving the p(x)p(x)-Laplacian of the type {−div(|∇u|p(x)−2∇u)∈λ∂F(x,u) in Ω,u=0on ∂Ω. Applying a version of the non-smooth three-critical-points theorem we obtain the existence of three solutions of the problem in W01,p(x)(Ω).

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