Electron. J. Diff. Equ., Vol. 2013 (2013), No. 176, pp. 1-14.

Existence of solutions for eigenvalue problems with nonstandard growth conditions

Sami Aouaoui

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.

Show me the PDF file (263 KB), TEX file, and other files for this article.

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

Return to the EJDE web page