| Title | Minimizers of anisotropic perimeters with cylindrical norms |
| Publication Type | Journal Article |
| Year of Publication | 2017 |
| Authors | Bellettini, G, Novaga, M, Kholmatov, S |
| Journal | Communications on Pure & Applied Analysis |
| Volume | 16 |
| Pagination | 1427 |
| ISSN | 1534-0392 |
| Keywords | anisotropic Bernstein problem;; minimal cones; Non parametric minimal surfaces; Sets of finite perimeter |
| Abstract | We study various regularity properties of minimizers of the Φ–perimeter, where Φ is a norm. Under suitable assumptions on Φ and on the dimension of the ambient space, we prove that the boundary of a cartesian minimizer is locally a Lipschitz graph out of a closed singular set of small Hausdorff dimension. Moreover, we show the following anisotropic Bernstein-type result: any entire cartesian minimizer is the subgraph of a monotone function depending only on one variable. |
| URL | http://aimsciences.org//article/id/47054f15-00c7-40b7-9da1-4c0b1d0a103d |
| DOI | 10.3934/cpaa.2017068 |
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