Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents
Analysis of PDEs
2019-10-01 v1 Differential Geometry
Abstract
We prove that tangent cones at singular boundary points of a two-dimensional current almost area minimizing are unique. Following the ideas exposed by White in [8], the result is achieved by combining a suitable epiperimetric inequality and an almost-monotonicity formula for the mass at boundary points.
Keywords
Cite
@article{arxiv.1909.13383,
title = {Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents},
author = {Jonas Hirsch and Michele Marini},
journal= {arXiv preprint arXiv:1909.13383},
year = {2019}
}