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.

引用

页数：9

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