Emden-Fowler problem for discrete operators with variable exponent
In this article, we prove the existence of homoclinic solutions for a p(.)-Laplacian difference equation on the set of integers, involving a coercive weight function and a reaction term satisfying the Ambrosetti-Rabinowitz condition. The proof of the main result is obtained by using critical poi...
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| Format: | Article |
| Language: | English |
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Texas State University
2014-02-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/55/abstr.html |
| Summary: | In this article, we prove the existence of homoclinic solutions for
a p(.)-Laplacian difference equation on the set of integers,
involving a coercive weight function and a reaction term satisfying
the Ambrosetti-Rabinowitz condition. The proof of the main result is
obtained by using critical point theory combined with adequate variational
techniques, which are mainly based on the mountain pass theorem. |
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| ISSN: | 1072-6691 |