Jeffrey S. Case, Eric Chen, Yi Wang, Paul Yang, Po-Lam Yung
{"title":"The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus","authors":"Jeffrey S. Case, Eric Chen, Yi Wang, Paul Yang, Po-Lam Yung","doi":"10.1515/ans-2022-0072","DOIUrl":null,"url":null,"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.","PeriodicalId":7191,"journal":{"name":"Advanced Nonlinear Studies","volume":" ","pages":""},"PeriodicalIF":2.1000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Advanced Nonlinear Studies","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1515/ans-2022-0072","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}
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.
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.