The dual Minkowski problem for positive indices
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866911008290766848 |
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| author | Hu, Jinrong |
| author_facet | Hu, Jinrong |
| contents | We derive the stability result of the dual curvature measure with near constant density in the even case. As an application, the existence and uniqueness of solutions to the even dual Minkowski problem for positive indices in $\mathbb{R}^{n+1}$ are obtained with $n\geq 1$, provided the density of the given measure is close to 1 in the $C^α$ norm with $α\in (0,1)$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_18032 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The dual Minkowski problem for positive indices Hu, Jinrong Analysis of PDEs Differential Geometry We derive the stability result of the dual curvature measure with near constant density in the even case. As an application, the existence and uniqueness of solutions to the even dual Minkowski problem for positive indices in $\mathbb{R}^{n+1}$ are obtained with $n\geq 1$, provided the density of the given measure is close to 1 in the $C^α$ norm with $α\in (0,1)$. |
| title | The dual Minkowski problem for positive indices |
| topic | Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2502.18032 |