Existence and Nonexistence of Nontrivial Solutions for Some Nonlinear Elliptic Systems Involving the (p(x), q(x))-Laplacian
AbstractIn 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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Bibliographic InfoPaper provided by CEREGMIA, Université des Antilles et de la Guyane in its series Documents de Travail with number 2013-11.
Length: 40 pages
Date of creation: May 2013
Date of revision:
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-06-04 (All new papers)
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