A LIOUVILLE TYPE THEOREM TO AN EXTENSION PROBLEM RELATING TO THE HEISENBERG GROUP

被引：5

作者：

Wang, Xinjing ^{[1
]}

Niu, Pengcheng ^{[1
]}

Cui, Xuewei ^{[1
]}

机构：

[1] Northwestern Polytech Univ, Dept Appl Math, Xian 710129, Shaanxi, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2018年 / 17卷 / 06期

基金：

美国国家科学基金会;

关键词：

Heisenberg group; extension problem; Liouville type theorem; generalized CR inversion; moving plane method; FRACTIONAL LAPLACIAN; SEMILINEAR EQUATIONS; ELLIPTIC-EQUATIONS; HARNACK INEQUALITY; MAXIMUM PRINCIPLE; CR MANIFOLDS; CLASSIFICATION; EXISTENCE; SYMMETRY;

D O I：

10.3934/cpaa.2018113

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We establish a Liouville type theorem for nonnegative cylindrical solutions to the extension problem corresponding to a fractional CR covariant equation on the Heisenberg group by using the generalized CR inversion and the moving plane method.

引用

页码：2379 / 2394

页数：16

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