Existence and nonexistence of solutions to nonlinear gradient elliptic systems involving (p(x),q(x))-Laplacian operators
In this article, we establish the existence of nontrivial solutions by employing the fibering method introduced by Pohozaev. We also generalize the well-known Pohozaev and Pucci-Serrin identities to a (p(x),q(x))-Laplacian system. A nonexistence result for a such system is then proved.
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2014-07-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2014/163/abstr.html |