The Neumann problem on the domain in S3 bounded by the Clifford torus

Jeffrey S. Case; Eric Chen; Yi Wang; Paul Yang; Po Lam Yung

doi:10.1515/ans-2022-0072

The Neumann problem on the domain in S³bounded by the Clifford torus

Jeffrey S. Case, Eric Chen^*, Yi Wang, Paul Yang, Po Lam Yung

^*Corresponding author for this work

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

Abstract

In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset ω of the CR manifold S3 bounded by the Clifford torus ς is discussed. The Yamabe-type problem of finding a contact form on ω which has zero Tanaka-Webster scalar curvature and for which ς has a constant p p -mean curvature is also discussed.

Original language	English
Article number	20220072
Journal	Advanced Nonlinear Studies
Volume	23
Issue number	1
DOIs	https://doi.org/10.1515/ans-2022-0072
Publication status	Published - 27 Jun 2023

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abstract = "In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset ω of the CR manifold S3 bounded by the Clifford torus ς is discussed. The Yamabe-type problem of finding a contact form on ω which has zero Tanaka-Webster scalar curvature and for which ς has a constant p p -mean curvature is also discussed.",

keywords = "CR Yamabe problem, Neumann problem, layer potentials, subelliptic PDE",

author = "Case, {Jeffrey S.} and Eric Chen and Yi Wang and Paul Yang and Yung, {Po Lam}",

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AU - Chen, Eric

AU - Wang, Yi

AU - Yang, Paul

AU - Yung, Po Lam

PY - 2023/6/27

Y1 - 2023/6/27

N2 - In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset ω of the CR manifold S3 bounded by the Clifford torus ς is discussed. The Yamabe-type problem of finding a contact form on ω which has zero Tanaka-Webster scalar curvature and for which ς has a constant p p -mean curvature is also discussed.

AB - In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset ω of the CR manifold S3 bounded by the Clifford torus ς is discussed. The Yamabe-type problem of finding a contact form on ω which has zero Tanaka-Webster scalar curvature and for which ς has a constant p p -mean curvature is also discussed.

KW - CR Yamabe problem

KW - Neumann problem

KW - layer potentials

KW - subelliptic PDE

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VL - 23

JO - Advanced Nonlinear Studies

JF - Advanced Nonlinear Studies

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ER -

The Neumann problem on the domain in S³bounded by the Clifford torus

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