Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 176, pp. 1-14.

Title: Existence of solutions for eigenvalue problems with nonstandard
       growth conditions

Author: Sami Aouaoui (Faculte des sciences de Monastir, Tunisia)

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.