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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2404.18757 |
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| _version_ | 1866910436056629248 |
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| author | Li, Chao Zhao, Xia |
| author_facet | Li, Chao Zhao, Xia |
| contents | The Minkowski problem of harmonic measures was first studied by Jerison [19]. Recently, Akman and Mukherjee [1] studied the Minkowski problem corresponding to $p$-harmonic measures on convex domains and generalized Jerison's results. In this paper, we prove the existence of the smooth solution to the Minkowski problem for the $p$-harmonic measure by method of the Gauss curvature flow. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_18757 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Flow by Gauss curvature to the Minkowski problem of p-harmonic measure Li, Chao Zhao, Xia Analysis of PDEs Differential Geometry 35K96, 52A20, 53C21, 31B05, 31A15 The Minkowski problem of harmonic measures was first studied by Jerison [19]. Recently, Akman and Mukherjee [1] studied the Minkowski problem corresponding to $p$-harmonic measures on convex domains and generalized Jerison's results. In this paper, we prove the existence of the smooth solution to the Minkowski problem for the $p$-harmonic measure by method of the Gauss curvature flow. |
| title | Flow by Gauss curvature to the Minkowski problem of p-harmonic measure |
| topic | Analysis of PDEs Differential Geometry 35K96, 52A20, 53C21, 31B05, 31A15 |
| url | https://arxiv.org/abs/2404.18757 |