Properties for Nonlinear Fractional SubLaplace Equations on the Heisenberg Group  

作　　者：WANG Xinjing NIU Pengcheng 

机构地区：[1]Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an 710129, China.

出　　处：《Journal of Partial Differential Equations》2019年第1期66-76,共11页偏微分方程（英文版）

基　　金：National Natural Science Foundation of China(Grant No.11771354)and the National Natural Science Basic Research plan in Shaanxi Province of China(Grant No.2016JM1023).

摘　　要：The aim of the paper is to study properties of solutions to the nonlinear fractional subLaplace equations on the Heisenberg group. Based on the method of moving planes to the Heisenberg group, we prove the Liouville property of solutions on a half space and the symmetry and monotonicity of the solutions on the whole group respectively.

关 键 词：HEISENBERG group FRACTIONAL subLaplace EQUATION method of MOVING planes. 

分 类 号：O175.2[理学—数学]