Strauss’s Radial Compactness and Nonlinear Elliptic Equation Involving a Variable Critical Exponent
We study existence of a nontrivial solution of -Δpu(x)+u(x)p-1=u(x)q(x)-1, u(x)≥0, x∈RN, u∈Wrad1,p(RN), under some conditions on q(x), especially, lim inf|x|→∞ q(x)=p. Concerning this problem, we firstly consider compactness and noncompactness for the embedding from Wrad1,p(RN) to Lq(x)(RN). We p...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/5497172 |