Existence of Weak Solutions for Elliptic Nonlinear System in R^N

Tahar Bouali^1, and Rafik Guefaifia¹

¹Department of Mathematics, University Tebessa, Tebessa, Algeria

Cite this paper:
Tahar Bouali and Rafik Guefaifia. Existence of Weak Solutions for Elliptic Nonlinear System in R^N. 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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