Ouarda Saifia, Jean Velin
Abstract:
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 email: wsaifia@gmail.com |
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Jean Vélin Department of Mathematics and Computers, Laboratory CEREGMIA University of Antilles-Guyane, Campus de Fouillole 97159 Pointe-&aagrave;-Pitre, Guadeloupe (French West Indies) email: jean.velin@univ-ag.fr |
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