Existence of weak solutions for quasilinear elliptic equations involving the p-Laplacian
This paper shows the existence of nontrivial weak solutions for the quasilinear elliptic equation $$ -ig(Delta_p u +Delta_p (u^2)ig) +V(x)|u|^{p-2}u= h(u) $$ in $mathbb{R}^N$. Here $V$ is a positive continuous potential bounded away from zero and $h(u)$ is a nonlinear term of subcritical type...
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| Format: | Article |
| Language: | English |
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Texas State University
2008-04-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2008/56/abstr.html |