Institut Préparatoire aux Etudes d'ingénieurs de Tunis, 2 Rue Jawaher Lel Nehru, 1008 Montfleury-Tunis, Tunisia. E-mail address: khaled kefi@yahoo.fr
2000 Mathematics Subject Classification: 35D05, 35J60, 35J70, 58E05, 76A02.
We study a nonlinear boundary value problem involving the p(x) - Laplace operator. Our main result establishes the existence of a nontrivial weak solution and our main arguments rely on the Mountain Pass Theorem of Ambrosetti and Rabinowitz.
p(x)-Laplace operator, generalized Sobolev spaces, Mountain Pass Theorem, weak solution
