Existence Results for a Class of Quasilinear Elliptic Systems Different Weights

Tahar Bouali^1, and Rafik Guefaifia¹

¹Department of Mathematics, University Tebessa, Tebessa, Algeria

Cite this paper:
Tahar Bouali and Rafik Guefaifia. Existence Results for a Class of Quasilinear Elliptic Systems Different Weights. International Journal of Partial Differential Equations and Applications. 2014; 2(2):27-31. doi: 10.12691/ijpdea-2-2-2

Abstract

Using variational methods, we study the existence of weak solutions for the degenerate quasilinear elliptic system where is a smooth bounded domain, stands for the gradient of -function , the weights are allowed to vanish somewhere, the primitive is intimately related to the first eigenvalue of a corresponding quasilinear system.

Keywords:
quasilinear elliptic system palais-smale condition mountain pass theorem existence

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