Tangent cones to two-dimensional area-minimizing integral currents are unique
type: Item
instance of: scholarly article
title: Tangent cones to two-dimensional area-minimizing integral currents are unique
zbMATH Open document ID: 0538.49030
DOI: 10.1215/S0012-7094-83-05005-6
author: Brian White
published in: Duke Mathematical Journal
publication date: 1983-01-01T00:00:00Z
review text: The author proves uniqueness of tangent cones for two dimensional integral currents in \(R^ n\). He reduces the problem to an ''epiperimetric'' inequality which is proved by constructing a comparison surface from the graph of a multiple-valued harmonic function, whose area he estimates in terms of the Fourier series of its boundary values.
Mathematics Subject Classification ID: 49Q15
Mathematics Subject Classification ID: 28A75
Mathematics Subject Classification ID: 58A25
Mathematics Subject Classification ID: 31B20
Mathematics Subject Classification ID: 53C65
Mathematics Subject Classification ID: 58C35
zbMATH DE Number: 3855856
zbMATH Keywords: tangent cones
zbMATH Keywords: two dimensional integral currents
zbMATH Keywords: epiperimetric'' inequality
reviewed by: Rosanna Schianchi
MaRDI profile type: Publication
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full work available at URL: s0012-7094-83-05005-6
OpenAlex ID: W1511825395
description: scientific article; zbMATH DE number 3855856