Existence of Solutions for the p(x)-Laplacian Problem with the Critical Sobolev-Hardy Exponent

This paper deals with the p(x)-Laplacian equation involving the critical Sobolev-Hardy exponent. Firstly, a principle of concentration compactness in W01,p(x)(Ω) space is established, then by applying it we obtain the existence of solutions for the following p(x)-Laplacian problem: -div (|∇u|p(x)-2∇...

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Bibliographic Details
Main Authors: Yu Mei, Fu Yongqiang, Li Wang
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/894925
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