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

IF 2.1 2区数学 Q1 MATHEMATICS

Advanced Nonlinear Studies Pub Date : 2023-01-01 DOI:10.1515/ans-2022-0072

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

引用次数: 0

Abstract

Abstract In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω \Omega of the CR manifold S 3 {{\mathbb{S}}}^{3} bounded by the Clifford torus Σ \Sigma is discussed. The Yamabe-type problem of finding a contact form on Ω \Omega which has zero Tanaka-Webster scalar curvature and for which Σ \Sigma has a constant p p -mean curvature is also discussed.

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以Clifford环面为界的𝕊3上的Neumann问题

摘要本文讨论了以Clifford环面Σ \Sigma为界的CR流形s3 {{\mathbb{S}}} ^{3}子集Ω \Omega上与CR Yamabe算子相关的Neumann问题的解。讨论了在Ω \Omega上寻找具有零Tanaka-Webster标量曲率且Σ \Sigma具有恒定的p -平均曲率的接触形式的yamabe型问题。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advanced Nonlinear Studies 数学-数学

CiteScore

3.00

自引率

5.60%

发文量

审稿时长

12 months

期刊介绍： Advanced Nonlinear Studies is aimed at publishing papers on nonlinear problems, particulalry those involving Differential Equations, Dynamical Systems, and related areas. It will also publish novel and interesting applications of these areas to problems in engineering and the sciences. Papers submitted to this journal must contain original, timely, and significant results. Articles will generally, but not always, be published in the order when the final copies were received.