Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem
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arXiv
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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915295360188416 |
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| author | Hu, Jinrong |
| author_facet | Hu, Jinrong |
| contents | The uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem in $\mathbb{R}^{n+1}$ is established when $-(n+1)<p<-1$ with $n\geq 1$, without requiring the origin-centred assumption on convex bodies. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_12851 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem Hu, Jinrong Analysis of PDEs Metric Geometry The uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem in $\mathbb{R}^{n+1}$ is established when $-(n+1)<p<-1$ with $n\geq 1$, without requiring the origin-centred assumption on convex bodies. |
| title | Uniqueness of solutions to the isotropic $L_{p}$ Gaussian Minkowski problem |
| topic | Analysis of PDEs Metric Geometry |
| url | https://arxiv.org/abs/2412.12851 |