Existence of solutions for an elliptic equation involving the $p(x)$-Laplace operator
In this paper we study an elliptic equation involving the $p(x)$-Laplace operator on the whole space $mathbb{R}^N$. For that equation we prove the existence of a nontrivial weak solution using as main argument the mountain pass theorem of Ambrosetti and Rabinowitz.
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| Format: | Article |
| Language: | English |
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Texas State University
2006-08-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2006/97/abstr.html |