$C^{1,\beta}$-regularity at the boundary of two dimensional sliding almost minimal sets
Yangqin Fang · Max Planck Digital Library · 2015
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].