Minimizing harmonic mappings from a surface perfored with small holes into a Riemannian manifold
type: Item
instance of: scholarly article
title: Minimizing harmonic mappings from a surface perfored with small holes into a Riemannian manifold
zbMATH Open document ID: 0769.58010
DOI: 10.1007/BF02567053
author: Sami Baraket
author: Dong Ye
published in: Manuscripta Mathematica
publication date: 1993-05-16T00:00:00Z
full work available at URL: https://eudml.org/doc/155778
review text: To energy-minimizing harmonic maps from a domain in \(\mathbb{R}^ 2\) with small holes to a Riemannian manifold, the authors show that when the radii of these holes tend to 0, the energy limit exists and splits into a sum of energies associated to elementary problems.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 58C20
zbMATH DE Number: 168953
zbMATH Keywords: energy-minimizing harmonic maps
zbMATH Keywords: Riemannian manifold
Wikidata QID: Q115392037
reviewed by: J. Eells
MaRDI profile type: Publication
cites work: The inverse function theorem of Nash and Moser
cites work: Q5518064
cites work: Q3983180
cites work: The existence of minimal immersions of 2-spheres
cites work: A regularity theory for harmonic maps
OpenAlex ID: W2081661254
description: scientific article; zbMATH DE number 168953