Pengcheng Niu, Jingbo Dou, Huiqing Zhang

Nonexistence of Weak Solutions for the p-Degenerate Subelliptic Inequalities Constructed by Generalized Baouendi-Grushin Vector Fields

The purpose of this work is to study the nonexistence of weak solutions for $p$-degenerate subelliptic inequalities formed by the generalized Baouendi-Grushin vector fields. Also, we give the $p$-volume and $p$-area of the ball induced by the these vector fields.

Polar coordinate, weak solution, nonexistence, fundamental solution.

MSC 2000: 35R45, 35J60