Kazdan-Warner obstructions for a 4$th-$order boundary problem
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2026
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| _version_ | 1866911538902728704 |
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| author | Cruz-Blázquez, Sergio DelaTorre, Azahara |
| author_facet | Cruz-Blázquez, Sergio DelaTorre, Azahara |
| contents | We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior $Q$ curvature and boundary $T$ curvature on the upper hemisphere $\mathbb{S}^4_+$ by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary-preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_22464 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Kazdan-Warner obstructions for a 4$th-$order boundary problem Cruz-Blázquez, Sergio DelaTorre, Azahara Analysis of PDEs Differential Geometry 35J30 We derive Kazdan-Warner type identities for the boundary problem of prescribing nonconstant interior $Q$ curvature and boundary $T$ curvature on the upper hemisphere $\mathbb{S}^4_+$ by a conformal change of the standard metric. Using the natural variational formulation and conformal variations generated by boundary-preserving conformal vector fields, we obtain nontrivial integral obstructions to solvability. |
| title | Kazdan-Warner obstructions for a 4$th-$order boundary problem |
| topic | Analysis of PDEs Differential Geometry 35J30 |
| url | https://arxiv.org/abs/2603.22464 |