Ouarda Saifia, Jean Velin
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.
Submitted April 2, 2014. Published July 25, 2014.
Math Subject Classifications: 35J20, 35J35, 35J45, 35J50, 35J60, 35J70.
Key Words: Fibering method; p(x)-Laplacian; Generalized Pohozeav identity; Pucci-Serrin identity.
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| Ouarda Saifia |
Department of mathematics, University of Annaba
PO 12, El Hadjar, 23000, Annaba, Algeria
| Jean Vélin |
Department of Mathematics and Computers, Laboratory CEREGMIA
University of Antilles-Guyane, Campus de Fouillole
97159 Pointe-&aagrave;-Pitre, Guadeloupe (French West Indies)
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