Constant Sign Solutions for Variable Exponent System Neumann Boundary Value Problems with Singular Coefficient

We deal with the existence of constant sign solutions for the following variable exponent system Neumann boundary value problem: -div(|∇u|p(x)-2∇u)+λ|u|p(x)-2u=Fu(x,u,v)  in  Ω, -div(|∇v|q(x)-2∇v)+λ|v|q(x)-2v=Fv(x,u,v) in Ω, ∂u/∂γ=0=∂v/∂γ  on  ∂Ω. We give several sufficient conditions for the existe...

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Bibliographic Details
Main Author: Xianbin Wu
Format: Article
Language:English
Published: Wiley 2014-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2014/396704
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