Study of a System of Convection-Diffusion-Reaction

Samira Lecheheb¹, Hakim Lakhal^1, , Maouni Messaoud¹ and Kamel Slimani¹

¹Université de Skikda, B.P.26 route d’El-Hadaiek, 21000, Algérie

Cite this paper:
Samira Lecheheb, Hakim Lakhal, Maouni Messaoud and Kamel Slimani. Study of a System of Convection-Diffusion-Reaction. International Journal of Partial Differential Equations and Applications. 2016; 4(2):32-37. doi: 10.12691/ijpdea-4-2-3

Abstract

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 Ω 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

Keywords:
topological degree elliptic systems homotopy

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