Abderrahim El Attar, Said El Manouni, Omar Sidki
Abstract:
In this article, we study the limit case of some elliptic problems involving
nonlinearities having the maximal growth with Dirichlet boundary conditions.
We apply a result by Ricceri [12] to prove the existence of
multiple nontrivial solutions using Trudinger-Moser estimates.
Submitted July 6, 2015. Published July 30, 2015.
Math Subject Classifications: 35J35, 35J60, 35J66.
Key Words: Limit case; maximal growth; Trudinger-Moser's inequality;
Ricceri's principle.
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Abderrahim El Attar University of Fez, FST Department of Mathematics Fez, Morocco email: abderrahimelattar@hotmail.com |
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Said El Manouni Al Imam Mohammad Ibn Saud Islamic University (IMSIU) Faculty of Sciences, Department of Mathematics P.O. Box 90950 Riyadh 11623, Saudi Arabia email: samanouni@imamu.edu.sa |
| Omar Sidki University of Fez, FST Department of Mathematics Fez, Morocco email: osidki@hotmail.com |
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