Solutions of p(x)-Laplacian equations with critical exponent and perturbations in R^N
Based on the theory of variable exponent Sobolev spaces, we study a class of $p(x)$-Laplacian equations in $mathbb{R}^{N}$ involving the critical exponent. Firstly, we modify the principle of concentration compactness in $W^{1,p(x)}(mathbb{R}^{N})$ and obtain a new type of Sobolev inequalities i...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2012-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2012/120/abstr.html |