Local C1,β-regularity at the boundary of two dimensional sliding almost minimal sets in R3
Yangqin Fang · MPG.PuRe (Max Planck Society) · 2016
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].