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O. Kavian. Introduction à la théorie des points critiques et Applications aux Problémes Elliptiques, Springer Verlag, Math. Appl, Vol 13, 1993.

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Article

Study of a System of Convection-Diffusion-Reaction

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 Publishing

Cite 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.dz

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

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