Existence and Nonexistence of Nontrivial Solutions for Some Nonlinear Elliptic Systems Involving the (p(x), q(x))-Laplacian
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.
|Date of creation:||May 2013|
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