Existence and concentration of solutions for a p-laplace equation with potentials in R^N
We study the p-Laplace equation with Potentials $$ -hbox{div}(| abla u|^{p-2} abla u)+lambda V(x)|u|^{p-2}u=|u|^{q-2}u, $$ $uin W^{1,p}(mathbb{R}^N)$, $xin mathbb{R}^N$ where $2leq p$, $p<q<p^{*}$. Using a concentration-compactness principle from critical point theory, we obtain...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2010-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2010/96/abstr.html |