Electronic Journal of Differential Equations, Conference 06 (2001), pp. 359-367. Title: Existence of non-negative solutions for a Dirichlet problem. Authors: Cecilia S. Yarur (Univ. de Santiago de Chile, Santiago, Chile) Abstract: The aim of this paper is the study of existence of non-negative solutions of fundamental type for some systems without sign restrictions on the non linearity. Published January 8, 2001. Math Subject Classifications: 35C20, 35D10. Key Words: Dirichlet Problem; Non-negative solutions.