Local $C^{1,beta}$-regularity at the boundary of two dimensional sliding almost minimal sets
Local $C^{1,beta}$-regularity at the boundary of two dimensional sliding almost minimal sets
复制标题
二维滑动几乎最小集边界处的局部$C^{1,beta}$-正则性
DOI：
10.1090/btran/40
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发表时间：
2021
期刊：
影响因子：
--
通讯作者：
Yangqin Fang
中科院分区：
文献类型：
--
作者：
Yangqin Fang
本文给出了中二维滑动几乎极小集在边界上的α-正则性结果。这种效应可能适用于边界处肥皂膜的正则性，也可能导致Guy大卫提出的具有滑动边界条件的Plateau问题在边界是二维光滑子流形的情况下解的存在性.引用
In this paper, we will give a-regularity result on the boundary for two dimensional sliding almost minimal sets in. This effect may apply to the regularity of the soap films at the boundary, and may also lead to the existence of a solution to the Plateau problem with sliding boundary conditions proposed by Guy David in the case that the boundary is a 2-dimensional smooth submanifold. References