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 Ω\Omega of the CR manifold S3{{\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 scal...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2023-06-01
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| Series: | Advanced Nonlinear Studies |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/ans-2022-0072 |
| _version_ | 1797788999817887744 |
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| author | Case Jeffrey S. Chen Eric Wang Yi Yang Paul Yung Po-Lam |
| author_facet | Case Jeffrey S. Chen Eric Wang Yi Yang Paul Yung Po-Lam |
| author_sort | Case Jeffrey S. |
| collection | DOAJ |
| description | In this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\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 pp-mean curvature is also discussed. |
| first_indexed | 2024-03-13T01:44:32Z |
| format | Article |
| id | doaj.art-42bda14528204fac9ec9a5db6300ec62 |
| institution | Directory Open Access Journal |
| issn | 2169-0375 |
| language | English |
| last_indexed | 2024-03-13T01:44:32Z |
| publishDate | 2023-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Advanced Nonlinear Studies |
| spelling | doaj.art-42bda14528204fac9ec9a5db6300ec622023-07-03T10:18:57ZengDe GruyterAdvanced Nonlinear Studies2169-03752023-06-0123112917710.1515/ans-2022-0072The Neumann problem on the domain in 𝕊3 bounded by the Clifford torusCase Jeffrey S.0Chen Eric1Wang Yi2Yang Paul3Yung Po-Lam4Department of Mathematics, Penn State University, University Park, PA 16802, USADepartment of Mathematics, University of California, Berkeley, CA 94720-3840, USAMathematics Department, Johns Hopkins University, Baltimore, MD, 21218, USADepartment of Mathematics, Princeton University, Princeton, NJ 08544-1000, USAMathematical Sciences Institute, Australian National University, Canberra, ACT 2601, AustraliaIn this study, the solution of the Neumann problem associated with the CR Yamabe operator on a subset Ω\Omega of the CR manifold S3{{\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 pp-mean curvature is also discussed.https://doi.org/10.1515/ans-2022-0072subelliptic pdeneumann problemcr yamabe problemlayer potentialsprimary 58j32secondary 35r0335h20 |
| spellingShingle | Case Jeffrey S. Chen Eric Wang Yi Yang Paul Yung Po-Lam The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus Advanced Nonlinear Studies subelliptic pde neumann problem cr yamabe problem layer potentials primary 58j32 secondary 35r03 35h20 |
| title | The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus |
| title_full | The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus |
| title_fullStr | The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus |
| title_full_unstemmed | The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus |
| title_short | The Neumann problem on the domain in 𝕊3 bounded by the Clifford torus |
| title_sort | neumann problem on the domain in 𝕊3 bounded by the clifford torus |
| topic | subelliptic pde neumann problem cr yamabe problem layer potentials primary 58j32 secondary 35r03 35h20 |
| url | https://doi.org/10.1515/ans-2022-0072 |
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