A Liouville theorem for a class semilinear elliptic equations on the Heisenberg group

被引：10

作者：

Ma, Xi -Nan ^{[1
]}

Ou, Qianzhong ^{[2
]}

机构：

[1] Univ Sci & Technol China, Dept Math, Hefei 230026, Anhui Province, Peoples R China

[2] Guangxi Normal Univ, Sch Math & Stat, Guilin 541004, Guangxi Provinc, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2023年 / 413卷

基金：

中国国家自然科学基金;

关键词：

Semilinear elliptic equation; Heisenberg group; Liouville theorem; CR Yamabe problem; LOCAL BEHAVIOR; SYMMETRY;

D O I：

10.1016/j.aim.2022.108851

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We obtain a Liouville type theorem for a classical semilinear subcritical elliptic equation on the Heisenberg group. A pointwise estimate near the isolated singularity is also provided. The soul of the proofs is a generalization of the Jerison-Lee's divergence identity and then an a priori integral estimate.(c) 2022 Elsevier Inc. All rights reserved.

引用

页数：20

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