$C^{1,β}$-regularity at the boundary of two dimensional sliding almost minimal sets

Yangqin Fang

Published 2016-11-04Version 1

In this paper, we will give a $C^{1,\beta}$-regularity result on the boundary for two dimensional sliding almost minimal sets. This effect may lead to the existence of a solution to the Plateau problem with sliding boundary conditions proposed by Guy David in [4].