Electronic Journal of Differential Equations, Vol. 2011 (2011), No. 152, pp. 1-7. Title: Nonexistence of radial positive solutions for a nonpositone system in an annulus Author: Said Hakimi (Univ. Abdelmalek Essaadi, Tetouan, Morocco) Abstract: In this article we study the nonexistence of radial positive solutions for a nonpositone system in an annulus by using energy analysis and comparison methods. Submitted May 2, 2011. Published November 10, 2011. Math Subject Classifications: 35J25, 34B18. Key Words: Nonpositone problem; radial positive solutions.