Uniqueness of tangent cones to boundary points of two-dimensional almost-minimizing currents

Autor:	Hirsch, Jonas, Marini, Michele
Rok vydání:	2019
Předmět:	Mathematics - Analysis of PDEs Mathematics - Differential Geometry
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.13383 Zobrazit plný text záznamu View this record from Arxiv