Blow-up phenomena for a boundary Yamabe problem with umbilic boundary
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866909736732983296 |
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| author | Vaira, Giusi |
| author_facet | Vaira, Giusi |
| contents | We consider a linear perturbation of the classical geometric problem of prescribing the scalar and the boundary mean curvature problem in a Riemannian manifold with umbilic boundary provided the Weyl tensor is non-zero everywhere. We will deal with the case of negative scalar curvature showing the existence of a positive solutions when $n\geq 8$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_10387 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Blow-up phenomena for a boundary Yamabe problem with umbilic boundary Vaira, Giusi Analysis of PDEs We consider a linear perturbation of the classical geometric problem of prescribing the scalar and the boundary mean curvature problem in a Riemannian manifold with umbilic boundary provided the Weyl tensor is non-zero everywhere. We will deal with the case of negative scalar curvature showing the existence of a positive solutions when $n\geq 8$. |
| title | Blow-up phenomena for a boundary Yamabe problem with umbilic boundary |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.10387 |