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

  • 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).)

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    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.

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    Paper provided by CEREGMIA, Université des Antilles et de la Guyane in its series Documents de Travail with number 2013-11.

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    Length: 40 pages
    Date of creation: May 2013
    Date of revision:
    Handle: RePEc:crg:wpaper:dt2013-11
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