Electronic Journal of Differential Equations, Conference 09 (2002), pp. pp 171-182. Title: Existence and regularity of positive solutions for an elliptic system. Authors: Abdelouahed El Khalil (Faculte des sciences DM Fes, Maroc) Mohammed Ouanan (Faculte des sciences DM Fes, Maroc) Abdelfattah Touzani (Faculte des sciences DM Fes, Maroc) 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. Math Subject Classifications: 35J20, 35J45, 35J50, 35J70. Key Words: p-Laplacian operator; mountain pass Theorem Orlicz space.