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

被引：1
|
作者：
Wang, Xin-jing [1 ,2 ]
Niu, Peng-cheng [2 ]
机构：
[1] Huanghuai Univ, Sch Math & Stat, Zhumadian 463000, Henan, Peoples R China
[2] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Peoples R China
来源：
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2021年 / 37卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Heisenberg group; fractional power subLaplace equation; the direct method of moving planes; maximum principle; SEMILINEAR EQUATIONS; LIOUVILLE THEOREMS; HARNACK INEQUALITY; CLASSIFICATION; SYMMETRY;
D O I：
10.1007/s10255-021-1016-x
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give the direct method of moving planes for solutions to the conformally invariant fractional power subLaplace 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.
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页码：364 / 379
页数：16
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