Existence and Asymptotic Behavior of Positive Solutions to p(x)-Laplacian Equations with Singular Nonlinearities

This paper investigates the p(x)-Laplacian equations with singular nonlinearities −Δp(x)u=λ/uγ(x) in Ω, u(x)=0 on ∂Ω, where −Δp(x)u=−div(|∇u|p(x)−2∇u) is called p(x)-Laplacian. The existence of positive solutions is given, and the asymptotic behav...

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Bibliographic Details
Main Author: Qihu Zhang
Format: Article
Language:English
Published: SpringerOpen 2007-10-01
Series:Journal of Inequalities and Applications
Online Access:http://dx.doi.org/10.1155/2007/19349

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