Liouville type theorem for weak solutions of nonlinear system for Grushin operator

Abstract

In this paper, we prove Liouville type theorem of positive weak solution of nonlinear system for Grushin operator. We give some integral inequalities, which combine the method of moving plane with the integral inequality to get the result for nonlinear system.

Keywords

• liouville type theorem
• grushin operator
• nonlinear system
• method of moving planes