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D.D. Hai and R. Shivaji, An existence result on positive solutions of p-Laplacian systems, Nonlinear Anal., 56 (2004), 1007-1010.

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Article

Weak Solutions for a Class of (p,q) Laplacian quasilinear Elliptic System with Different Weights

1Department of Mathematics, University Tebessa, Algeria


International Journal of Partial Differential Equations and Applications. 2014, Vol. 2 No. 5, 86-90
DOI: 10.12691/ijpdea-2-5-1
Copyright © 2014 Science and Education Publishing

Cite this paper:
Tahar Bouali, Rafik Guefaifiai. Weak Solutions for a Class of (p,q) Laplacian quasilinear Elliptic System with Different Weights. International Journal of Partial Differential Equations and Applications. 2014; 2(5):86-90. doi: 10.12691/ijpdea-2-5-1.

Correspondence to: Tahar  Bouali, Department of Mathematics, University 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