On the fully nonlinear Yamabe problem with constant boundary mean curvature. I
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866916436986822656 |
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| author | Chu, BaoZhi Li, YanYan Li, Zongyuan |
| author_facet | Chu, BaoZhi Li, YanYan Li, Zongyuan |
| contents | In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optimal Liouville-type theorem for these equations in the half-Euclidean space. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_09683 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the fully nonlinear Yamabe problem with constant boundary mean curvature. I Chu, BaoZhi Li, YanYan Li, Zongyuan Analysis of PDEs Differential Geometry 35J60 (Primary) 53C21, 58J05 (Secondary) In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optimal Liouville-type theorem for these equations in the half-Euclidean space. |
| title | On the fully nonlinear Yamabe problem with constant boundary mean curvature. I |
| topic | Analysis of PDEs Differential Geometry 35J60 (Primary) 53C21, 58J05 (Secondary) |
| url | https://arxiv.org/abs/2410.09683 |