On positive weak solutions for a class of weighted ( <i>p</i> (.), <i>q</i> (.))−Laplacian systems

Abstract

In this paper, we study the existence of positive weak solutions for a quasilinear elliptic system involving weighted (
p
(.),
q
(.))−Laplacian operators. The approach is based on sub-supersolutions method and on Schauder’s fixed point theorem.