Minkowski problem of anisotropic p-torsional rigidity
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866916938479828992 |
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| author | Li, Chao |
| author_facet | Li, Chao |
| contents | In this paper, we consider the Minkowski problem associated with the solution to the anisotropic $p$-Laplacian (or Finsler $p$-Laplacian) equation, namely, the Minkowski problem of anisotropic $p$-torsional rigidity. The sufficient and necessary conditions for the existence of a solution to the Minkowski problem of anisotropic $p$-torsional rigidity are presented. Meanwhile, the existence of a solution to the log-Minkowski problem of anisotropic $p$-torsional rigidity without symmetry assumptions is solved. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00687 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Minkowski problem of anisotropic p-torsional rigidity Li, Chao Analysis of PDEs Differential Geometry 35N25, 52A20, 53C21, 31A15 In this paper, we consider the Minkowski problem associated with the solution to the anisotropic $p$-Laplacian (or Finsler $p$-Laplacian) equation, namely, the Minkowski problem of anisotropic $p$-torsional rigidity. The sufficient and necessary conditions for the existence of a solution to the Minkowski problem of anisotropic $p$-torsional rigidity are presented. Meanwhile, the existence of a solution to the log-Minkowski problem of anisotropic $p$-torsional rigidity without symmetry assumptions is solved. |
| title | Minkowski problem of anisotropic p-torsional rigidity |
| topic | Analysis of PDEs Differential Geometry 35N25, 52A20, 53C21, 31A15 |
| url | https://arxiv.org/abs/2501.00687 |