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 PublishingCite 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.frAbstract
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