Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
843617 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
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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Authors
Guowei Dai,