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A. Djellit., S. TAS, Existence of solutions for a class of elliptic systems in Rn involving the p- Laplacian, Electronic Journal of Differential Equations, Vol. 2003, No. 56, pp. 1-8.

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Article

Existence of Weak Solutions for Elliptic Nonlinear System in RN

1Department of Mathematics, University Tebessa, Tebessa, Algeria


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 2, 32-37
DOI: 10.12691/ijpdea-2-2-3
Copyright © 2014 Science and Education Publishing

Cite this paper:
Tahar Bouali, Rafik Guefaifia. Existence of Weak Solutions for Elliptic Nonlinear System in RN. International Journal of Partial Differential Equations and Applications. 2014; 2(2):32-37. doi: 10.12691/ijpdea-2-2-3.

Correspondence to: Tahar  Bouali, Department of Mathematics, University Tebessa, Tebessa, Algeria. Email: boualitahar@yahoo.fr

Abstract

We study the nonuniformly elliptic, nonlinear system Under growth and regularity conditions on the nonlinearities f and g, we obtain weak solutions in a subspace of the Sobolev space by applying a variant of the Mountain Pass Theorem.

Keywords