Regularity for minimal sets near a union of two planes
Classical Analysis and ODEs
2012-05-15 v2
Abstract
We discuss the global regularity of 2 dimensional minimal sets that are near a union of two planes, and prove that every global minimal set in R^4 that looks like a union of two almost orthogonal planes at infinity is a cone. The main point is to use the topological properties of a minimal set at a large scale to control its behavior at smaller scales.
Keywords
Cite
@article{arxiv.1203.0560,
title = {Regularity for minimal sets near a union of two planes},
author = {Xiangyu Liang},
journal= {arXiv preprint arXiv:1203.0560},
year = {2012}
}
Comments
30 pages. arXiv admin note: substantial text overlap with arXiv:1112.3565