On positive weak solutions for a class of weighted (p(.), q(.))−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.

Keywords

• sub-supersolutions method
• singular systems
• weighted sobolev spaces
• variable exponents
• fixed point
• primary 35b51
• secondary 35j50