一类次P-Laplace方程非负解的不存在性

Nonexistence Results for a Class of Sub-P-Laplacians

该文得到了在Ω上以下问题非负解的不存在性结果.其中Ω为Heisenberg型群G中的区域(有界或无界),L_(p,κ)u=divx(|▽_(xu)|^(p-2)▽_(xu))为对应于Greiner型向量场X的一类次P-Laplace算子.

The purpose of the present paper is to establish some nonexistence results of nonnegative solutions for the problem whereΩis a domain（bounded or unbounded） in an H-type group G and L_（p,k）u = div x（｜▽_Xu｜^（p-2）▽_Xu） is a sub-P-Laplacian associated with Greiner type vector fields X.