International Journal of Partial Differential Equations and Applications
ISSN (Print): 2376-9548 ISSN (Online): 2376-9556 Website: http://www.sciepub.com/journal/ijpdea Editor-in-chief: Mahammad Nurmammadov
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International Journal of Partial Differential Equations and Applications. 2014, 2(2), 32-37
DOI: 10.12691/ijpdea-2-2-3
Open AccessArticle

Existence of Weak Solutions for Elliptic Nonlinear System in RN

Tahar Bouali1, and Rafik Guefaifia1

1Department of Mathematics, University Tebessa, Tebessa, Algeria

Pub. Date: May 28, 2014

Cite this paper:
Tahar Bouali and 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

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:
nonuniformly elliptic nonlinear systems mountain pass theorem weakly continuously differentiable functional

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