Existence and Nonexistence of Nontrivial Solutions for Some Nonlinear Elliptic Systems Involving the (p(x), q(x))-Laplacian

Warda Saifia and Jean Velin ()
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Warda Saifia: Department of mathematics; University of Annaba; PO12; El Hadjar, 23000, Annaba. Algeria.
Jean Velin: Department of Mathematic and Computer, Laboratory CEREGMIA, University of Antilles-Guyane, Campus de Fouillole, 97159 Pointe-à-Pitre Guadeloupe (FWI).

No 2013-11, Documents de Travail from CEREGMIA, Université des Antilles et de la Guyane

Abstract: In view of the fibring method, we prove the existence of nontrivial solutions. Generalization of the well-known Pohozaev and Pucci-Serrin idendities and some nonexistence results for Dirichlet problem involving the (p(x), q(x))-Laplacian system are obtained. Key Words: Fibering method, non-existence theorem, p(x)-Laplacian, Generalized Pohozeav identity, Pucci Serrin identity.

Pages: 40 pages
Date: 2013-05
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