A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group

Bo Wang

doi:10.1142/S0219199721500607

A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group

Bo Wang^*

^*Corresponding author for this work

School of Mathematics and Statistics

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

8 Citations (Scopus)

Abstract

We obtain a Liouville-type theorem for cylindrical viscosity solutions of fully nonlinear CR invariant equations on the Heisenberg group. As a by-product, we also prove a comparison principle with finite singularities for viscosity solutions to more general fully nonlinear operators on the Heisenberg group.

Original language	English
Article number	2150060
Journal	Communications in Contemporary Mathematics
Volume	24
Issue number	8
DOIs	https://doi.org/10.1142/S0219199721500607
Publication status	Published - 1 Oct 2022

Keywords

CR invariance
Comparison principle
Heisenberg group
cylindrical solution
sub-ellipticity

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10.1142/S0219199721500607

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title = "A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group",

abstract = "We obtain a Liouville-type theorem for cylindrical viscosity solutions of fully nonlinear CR invariant equations on the Heisenberg group. As a by-product, we also prove a comparison principle with finite singularities for viscosity solutions to more general fully nonlinear operators on the Heisenberg group.",

keywords = "CR invariance, Comparison principle, Heisenberg group, cylindrical solution, sub-ellipticity",

author = "Bo Wang",

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AB - We obtain a Liouville-type theorem for cylindrical viscosity solutions of fully nonlinear CR invariant equations on the Heisenberg group. As a by-product, we also prove a comparison principle with finite singularities for viscosity solutions to more general fully nonlinear operators on the Heisenberg group.

KW - CR invariance

KW - Comparison principle

KW - Heisenberg group

KW - cylindrical solution

KW - sub-ellipticity

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JO - Communications in Contemporary Mathematics

JF - Communications in Contemporary Mathematics

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M1 - 2150060

ER -

A Liouville-type theorem for fully nonlinear CR invariant equations on the Heisenberg group

Abstract

Keywords

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