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

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

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Bibliographic Details
Published in:	Advanced nonlinear studies Vol. 23; no. 1; pp. 129 - 177
Main Authors:	Case, Jeffrey S., Chen, Eric, Wang, Yi, Yang, Paul, Yung, Po-Lam
Format:	Journal Article
Language:	English
Published:	De Gruyter 27-06-2023
Subjects:	35H20 CR Yamabe problem layer potentials Neumann problem Primary 58J32 Secondary 35R03 subelliptic PDE
Online Access:	Get full text
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Summary:	In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset of the CR manifold bounded by the Clifford torus is discussed. The Yamabe-type problem of finding a contact form on which has zero Tanaka-Webster scalar curvature and for which has a constant -mean curvature is also discussed.
ISSN:	2169-0375 2169-0375
DOI:	10.1515/ans-2022-0072