The Neumann problem on the domain in S3bounded 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

Mathematics

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 (US)
Article number	20220072
Journal	Advanced Nonlinear Studies
Volume	23
Issue number	1
DOIs	https://doi.org/10.1515/ans-2022-0072
State	Published - Jan 1 2023

All Science Journal Classification (ASJC) codes

Statistical and Nonlinear Physics
General Mathematics

Keywords

CR Yamabe problem
Neumann problem
layer potentials
subelliptic PDE

Access to Document

10.1515/ans-2022-0072

Cite this

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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.",

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AU - Yung, Po Lam

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KW - Neumann problem

KW - layer potentials

KW - subelliptic PDE

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