Existence of Solutions for a Robin Problem Involving the p(x)‐Laplace Operator

Mostafa Allaoui

Abstract and Applied Analysis, 2016, vol. 2016, issue 1

Abstract: In this article we study the nonlinear Robin boundary‐value problem −Δp(x)u = f(x, u) in Ω, |∇u|p(x)−2(∂u/∂ν) + β(x)|u|p(x)−2u = 0 on ∂Ω. Using the variational method, under appropriate assumptions on f, we obtain results on existence and multiplicity of solutions.

Date: 2016
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https://doi.org/10.1155/2016/2349172

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2016:y:2016:i:1:n:2349172

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