A Direct Method of Moving Planes to Fractional Power Sub Laplace Equations on the Heisenberg Group  

作　　者：Xin-jing WANG Peng cheng NIU 

机构地区：[1]School of Mathematics and Statistics,Huanghuai University,Zhumadian,Henan 463000,China [2]Department of Applied Mathematics,Northwestern Polytechnical University,Xi'an 710129,China

出　　处：《Acta Mathematicae Applicatae Sinica》2021年第2期364-379,共16页应用数学学报（英文版）

基　　金：supported by the National Natural Science Foundation of China(No.11771354)。

摘　　要：We give the direct method of moving planes for solutions to the conformally invariant fractional power sub Laplace equation on the Heisenberg group.The method is based on four maximum principles derived here.Then symmetry and nonexistence of positive cylindrical solutions are proved.

关 键 词：Heisenberg group fractional power sub Laplace equation the direct method of moving planes maximum principle 

分 类 号：O175[理学—数学]