Proyecciones Journal of Mathematics
Vol. 26, Nº 2, pp. 157-187, August 2007.
Universidad Católica del Norte
Antofagasta - Chile


EXISTENCE RESULT FOR STRONGLY NONLINEAR ELLIPTIC EQUATIONS IN ORLICZ—SOBOLEV SPACES


A. YOUSSFI

UNIVERSITÉ SIDI MOHAMMED BEN ABDALLAH, MAROC

Correspondencia a:

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Abstract
In this paper, we prove the existence of solutions for some strongly nonlinear Dirichlet problems whose model is the following.

Where Ω is an open bounded subset of IR^N , N = 2.
We emphasize that no Δ₂-condition is required for the N-function M.

Key words : Periodic solutions, logarithmic

Mathematics Subject Classification : (2000): 46E30, 35J60,35j65.

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A. Youssfi
Départament de Mathématique et Informatique
Faculté des Sciences
Dhar Mahraz
B.P 1796 Atlas
Fès Morocco
Morocco
e-mail : mailto:Ahmed.youssfi@caramail.com

Received : Julio 2006. Accepted : May 2007