Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group

被引：0

作者：

Shi, Wei ^{[1
]}

机构：

[1] Beijing Inst Technol, Sch Math & Stat, Beijing, Peoples R China

来源：

COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 2024年 / 69卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Fully nonlinear equations; subelliptic equations; strong maximum principle; Heisenberg group; Liouville theorem; STRONG MAXIMUM PRINCIPLE; DEGENERATE ELLIPTIC-EQUATIONS; VISCOSITY SOLUTIONS; OPERATORS; PROPAGATION; THEOREMS;

D O I：

10.1080/17476933.2023.2166497

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we prove new Liouville-type properties of fully nonlinear subelliptic equations modelled on the Heisenberg group. A key tool that can be of independent interest is a strong maximum principle for solutions of such differential equations.

引用

页码：898 / 912

页数：15

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