A half-space Liouville theorem for anisotropic minimal graph with free boundary
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| _version_ | 1866918299599634432 |
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| author | Wang, Guofang Wei, Wei Xia, Chao Zhang, Xuwen |
| author_facet | Wang, Guofang Wei, Wei Xia, Chao Zhang, Xuwen |
| contents | In this paper we prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has at most one-sided linear growth. This extends the classical results of Bombieri-De Giorgi-Miranda and Simon to an appropriate free boundary setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_15788 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | A half-space Liouville theorem for anisotropic minimal graph with free boundary Wang, Guofang Wei, Wei Xia, Chao Zhang, Xuwen Differential Geometry Analysis of PDEs 53A10, 35J93, 35J25 In this paper we prove the following Liouville-type theorem: any anisotropic minimal graph with free boundary in the half-space must be flat, provided that the graph function has at most one-sided linear growth. This extends the classical results of Bombieri-De Giorgi-Miranda and Simon to an appropriate free boundary setting. |
| title | A half-space Liouville theorem for anisotropic minimal graph with free boundary |
| topic | Differential Geometry Analysis of PDEs 53A10, 35J93, 35J25 |
| url | https://arxiv.org/abs/2601.15788 |