Science and Education Publishing International Journal of Partial Differential Equations and Applications 2376-9556 4 2 2017 1 7 Study of a System of Convection-Diffusion-Reaction 32 37 EN Samira Lecheheb Hakim Lakhal Université de Skikda, B.P.26 route d’El-Hadaiek, 21000, Algérie Maouni Messaoud Kamel Slimani IJPDEA2016423 10.12691/ijpdea-4-2-3 2016 8 22 2016 11 30 2017 1 5 In this article, we are interested in the study of the existence of weak solutions of boundary value problem for the nonlinear elliptic system , where is a bounded domain in and are continuous functions . We use the Leray-Schauder degree theory under not linear for the three reasons: the terms of diffusion, convection and reaction, and the following condition on the last term f and and