Ali Djellit & Saadia Tas
Abstract:
Using a variational approach, we study a class of nonlinear elliptic
systems derived from a potential and involving the p-Laplacian.
Under suitable assumptions on the nonlinearities, we show the
existence of nontrivial solutions.
Submitted March 24, 2003. Published Maay 8, 2003.
Math Subject Classifications: 35P65, 35P30.
Key Words: p-Laplacian, nonlinear elliptic system, mountain pass theorem,
Palais-Smale condition
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Ali Djellit University of Annaba, Faculty of Sciences Department of Mathematics B.P. 12, 23000, Annaba, Algeria email: a_djellit@hotmail.com |
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Saadia Tas University of Annaba, Faculty of Sciences Department of Mathematics B.P. 12, 23000, Annaba, Algeria email: tas_saadia@yahoo.fr |
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