A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball
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arXiv
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| Hauptverfasser: | , , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866929195942150144 |
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| author | Case, Jeffrey S. Lin, Yueh-Ju McKeown, Stephen E. Ndiaye, Cheikh Birahim Yang, Paul |
| author_facet | Case, Jeffrey S. Lin, Yueh-Ju McKeown, Stephen E. Ndiaye, Cheikh Birahim Yang, Paul |
| contents | We show that the half-ball in $\mathbb{R}^4$ can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier--Escobar-type problem on the half-ball. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_00937 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball Case, Jeffrey S. Lin, Yueh-Ju McKeown, Stephen E. Ndiaye, Cheikh Birahim Yang, Paul Differential Geometry Analysis of PDEs Primary 53C21, Seconary 35J40, 53C18, 35B65 We show that the half-ball in $\mathbb{R}^4$ can be conformally changed so that the only contribution to the Gauss--Bonnet formula is a constant term at the corner. This may be seen as a fourth-order Cherrier--Escobar-type problem on the half-ball. |
| title | A fourth-order Cherrier-Escobar problem with prescribed corner behavior on the half-ball |
| topic | Differential Geometry Analysis of PDEs Primary 53C21, Seconary 35J40, 53C18, 35B65 |
| url | https://arxiv.org/abs/2401.00937 |