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

Wei Shi

doi:10.1080/17476933.2023.2166497

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

Wei Shi^*

^*此作品的通讯作者

教育学院

科研成果: 期刊稿件 › 文章 › 同行评审

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.

源语言	英语
页（从-至）	898-912
页数	15
期刊	Complex Variables and Elliptic Equations
卷	69
期	6
DOI	https://doi.org/10.1080/17476933.2023.2166497
出版状态	已出版 - 2024

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10.1080/17476933.2023.2166497

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title = "Liouville-type results for fully nonlinear subelliptic equations on the Heisenberg group",

abstract = "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.",

keywords = "35H20, 35R03, Fully nonlinear equations, Heisenberg group, Liouville theorem, Primary 35B50, Secondary 35D40, strong maximum principle, subelliptic equations",

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KW - Fully nonlinear equations

KW - Heisenberg group

KW - Liouville theorem

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KW - Secondary 35D40

KW - strong maximum principle

KW - subelliptic equations

UR - https://www.scopus.com/pages/publications/85146642581

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

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