Existence and Multiplicity of Solutions for a Steklov Problem Involving the P(x)-laplace Operator
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چکیده
In this article we study the nonlinear Steklov boundary-value problem ∆p(x)u = |u|p(x)−2u in Ω, |∇u|p(x)−2 ∂u ∂ν = λf(x, u) on ∂Ω. Using the variational method, under appropriate assumptions on f , we obtain results on existence and multiplicity of solutions.
منابع مشابه
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تاریخ انتشار 2012