Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
842449 | Nonlinear Analysis: Theory, Methods & Applications | 2009 | 9 Pages |
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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Authors
Guowei Dai, Wulong Liu,