Multiplicity of solutions for a quasilinear problem with supercritical growth
The multiplicity and concentration of positive solutions are established for the equation $$ -epsilon^{p}Delta_{p}u+V(z)|u|^{p-2}u=|u|^{q-2}u +lambda|u|^{s-2}u quadhbox{in }mathbb{R}^N, $$ where $1<p<N$, $epsilon >0$, $p<q<p^* leq s$, $p^{*}=frac{Np}{N-p}$, $lambdageq 0$ and $V...
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| Format: | Article |
| Language: | English |
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Texas State University
2006-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/31/abstr.html |