Journal of Applied Analysis 13 (2007), No. 2, 151--181
Copyright Heldermann Verlag 2007
Existence of Solutions for Unilateral Problems in L1 Involving Lower Order Terms in Divergence Form in Orlicz Spaces
Lahsen Aharouch
University Ibn Zohr, Faculté Polydisciplinaire, B.P. 638, Quarzazate, Morocco
l_aharouch@yahoo.fr
Elhoussine Azroul
Dép. de Mathématiques et Informatique, Faculté des Sciences de Dhar-Mahraz, B.P. 1796, Atlas - Fès, Morocco
azroul_elhoussine@yahoo.fr
Mohamed Rhoudaf
Dép. de Mathématiques et Informatique, Faculté des Sciences de Dhar-Mahraz, B.P 1796, Atlas - Fès, Morocco
rhoudaf_mohamed@yahoo.fr
[Abstract-pdf]
This article is concerned with the existence result of the unilateral problem associated to the equations of the type $$Au - \operatorname{div}\phi (u) = f \in L^1(\Omega),$$ where $A$ is a Leray-Lions operator having a growth not necessarily of polynomial type and $\phi\in C^0({\Bbb{R}}, {\Bbb{R}}^N)$.
Keywords: Orlicz Sobolev spaces, boundary value problems, truncations, unilateral problems.
MSC: 35J60
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