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

Author

Listed:
  • 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).)

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.

Suggested Citation

  • Warda Saifia & Jean Velin, 2013. "Existence and Nonexistence of Nontrivial Solutions for Some Nonlinear Elliptic Systems Involving the (p(x), q(x))-Laplacian," Documents de Travail 2013-11, CEREGMIA, Université des Antilles et de la Guyane.
    • Handle: RePEc:crg:wpaper:dt2013-11
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    File URL: http://www2.univ-ag.fr/RePEc/DT/DT2013-11_Saifia_Velin.pdf
    File Function: First version, 2013
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