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^*

^*Corresponding author for this work

School of Education

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	898-912
Number of pages	15
Journal	Complex Variables and Elliptic Equations
Volume	69
Issue number	6
DOIs	https://doi.org/10.1080/17476933.2023.2166497
Publication status	Published - 2024

Keywords

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

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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

KW - Primary 35B50

KW - Secondary 35D40

KW - strong maximum principle

KW - subelliptic equations

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JF - Complex Variables and Elliptic Equations

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ER -

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

Abstract

Keywords

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