1Université de Skikda, B.P.26 route d’El-Hadaiek, 21000, Algérie
International Journal of Partial Differential Equations and Applications.
2016,
Vol. 4 No. 2, 32-37
DOI: 10.12691/ijpdea-4-2-3
Copyright © 2017 Science and Education PublishingCite this paper: Samira Lecheheb, Hakim Lakhal, Maouni Messaoud, 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.
Correspondence to: Hakim Lakhal, Université de Skikda, B.P.26 route d’El-Hadaiek, 21000, Algérie. Email:
m.maouni@univ-skikda.dzAbstract
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