Local $C^{1,\beta}$-regularity at the boundary of two dimensional sliding almost minimal sets in $\mathbb{R}^3$
Classical Analysis and ODEs
2017-06-02 v3
Abstract
In this paper, we will give a -regularity result on the boundary for two dimensional sliding almost minimal sets in . This effect may lead to the existence of a solution to the Plateau problem with sliding boundary conditions proposed by Guy David in \cite{David:2014p} in the case that the boundary is a 2-dimensional smooth manifold.
Keywords
Cite
@article{arxiv.1611.01343,
title = {Local $C^{1,\beta}$-regularity at the boundary of two dimensional sliding almost minimal sets in $\mathbb{R}^3$},
author = {Yangqin Fang},
journal= {arXiv preprint arXiv:1611.01343},
year = {2017}
}