The aim of this paper is to study properties of solutions to the fractional p-subLaplace equations on the Heisenberg group. Based on the maximum principles and the generalization of the direct method of moving planes, we obtain the symmetry and monotonicity of the solutions on the whole group and the Liouville property of solutions on a half space.

中文翻译：

---

Heisenberg群上分数p -subLaplace方程解的性质

本文的目的是研究Heisenberg群上分数p-subLaplace方程解的性质。基于最大原理和运动平面直接法的推广，我们获得了整体上解的对称性和单调性以及半空间上解的Liouville性质。