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Afrouzi, G, A., Mahdavi, S. and Nikolaos, B. Zographopoulos, “Existence of solutions for non-uniformly nonlinear elliptic systems”, Electron. J. Diff. Equ., 167. 1-9. 2011.

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Article

Existence Results for a Class of Quasilinear Elliptic Systems Different Weights

1Department of Mathematics, University Tebessa, Tebessa, Algeria


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 2, 27-31
DOI: 10.12691/ijpdea-2-2-2
Copyright © 2014 Science and Education Publishing

Cite this paper:
Tahar Bouali, 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.

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

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