Sami Aouaoui
Abstract:
We prove the existence of weak solutions for some
eigenvalue problems involving variable exponents.
Our main tool is critical point theory.
Submitted April 22, 2013. Published July 30, 2013.
Math Subject Classifications: 35D30, 35J20, 35J62, 58E05.
Key Words: Critical point; energy functional; eigenvalue problem;
variable exponent; Ekeland's lemma.
A corrigendum was posted on September 12, 2013. It adds one assumption and modifies the proof of Theorem 1.2. See the last page of this article.
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Sami Aouaoui Département de mathématiques, Faculté des sciences de Monastir Rue de l'environnement, 5019 Monastir, Tunisia email: aouaouisami@yahoo.fr Phone +216 73500216, Fax +216 73500218 |
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