Critical points of solutions of sub-elliptic equations on the Heisenberg group

被引：0
|
作者：
Liu, Hairong [1 ]
Wu, Hui [2 ]
机构：
[1] Nanjing Forestry Univ, Sch Sci, Nanjing 210037, Peoples R China
[2] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2021年 / 494卷 / 01期
基金：
中国博士后科学基金; 中国国家自然科学基金;
关键词：
Critical point; Star-shaped domain; Heisenberg group; Green function; CRITICAL SETS;
D O I：
10.1016/j.jmaa.2020.124579
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper concerns the critical points of a class of degenerate elliptic operators. We prove that the nonexistence of critical point of the Green function for the Kohn-Laplacian of an H-star-shaped region on the first Heisenberg group. Moreover, we prove that solutions to a class of semi-linear degenerate elliptic equations on an H-star-shaped ring have no critical point. (C) 2020 Elsevier Inc. All rights reserved.
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页数：9
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