2002-Fez conference on Partial Differental Equations,
Electron. J. Diff. Eqns., Conf. 09, 2002, pp. 171-182.

Existence and regularity of positive solutions for an elliptic system

Abdelouahed El Khalil, Mohammed Ouanan & Abdelfattah Touzani

Abstract:
In this paper, we study the existence and regularity of positive solution for an elliptic system on a bounded and regular domain. The non linearities in this equation are functions of Caratheodory type satisfying some exponential growth conditions.

Published December 28, 2002.
Subject classfications: 35J20, 35J45, 35J50, 35J70.
Key words: p-Laplacian operator, mountain pass Theorem Orlicz space.

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Abdelouahed El Khalil
Department of Mathematics and Informatic,
Faculty of Sciences Dhar-Mahraz,
P.O. Box 1796 Atlas-Fez, Morocco
e-mail: lkhlil@hotmail.com
Mohammed. Ouanan
Department of Mathematics and Informatic,
Faculty of Sciences Dhar-Mahraz,
P.O. Box 1796 Atlas-Fez, Morocco
e-mail: m_ouanan@hotmail.com
Abdelfattah Touzani
Department of Mathematics and Informatic,
Faculty of Sciences Dhar-Mahraz,
P.O. Box 1796 Atlas-Fez, Morocco
e-mail: atouzani@iam.net.ma

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