Regularity and uniqueness of harmonic maps into an ellipsoid
type: Item
instance of: scholarly article
title: Regularity and uniqueness of harmonic maps into an ellipsoid
zbMATH Open document ID: 0646.58020
DOI: 10.1007/BF01161933
published in: Manuscripta Mathematica
publication date: 1988-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/155280
review text: The author establishes the regularity of weakly harmonic maps of a domain in \({\mathbb{R}}^ N\) (N\(\geq 3)\) into certain ellipsoids. Also: For x in the open disc \(B^ N\) the equator map \(u_*(x)=x/| x|\) is the unique minimizing map iff the eccentricity of the ellipsoid is suitably large.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 53C42
zbMATH DE Number: 4054650
zbMATH Keywords: regularity of weakly harmonic maps
author: Frédéric Hélein
reviewed by: J. Eells
MaRDI profile type: Publication
cites work: Analyticity of solutions of the O(N) nonlinear \(\sigma\)-model
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cites work: Q3663717
cites work: Q5725878
cites work: The problem of Plateau on a Riemannian manifold
cites work: A regularity theory for harmonic maps
OpenAlex ID: W2072139854
description: scientific article; zbMATH DE number 4054650