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