Variational problem of some quadratic functionals in complex analysis
type: Item
instance of: scholarly article
title: Variational problem of some quadratic functionals in complex analysis
zbMATH Open document ID: 0945.30023
author: Themistocles M. Rassias
author: Keiichi Shibata
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-10-08T00:00:00Z
review text: For maps between marked closed Riemann surfaces a program of H. E. Rauch (see \textit{M. Gerstenhaber} and \textit{H. E. Rauch}, Proc. Natl. Acad. Sci. 40, 808-812, 991-994 (1954; Zbl 0056.07502) studied the existence of Teichmüller's extremal map by minimizing the energy functionals. The paper under review contributes to that program, by examining related quadratic functionals of maps.
Mathematics Subject Classification ID: 30C70
Mathematics Subject Classification ID: 30F45
Mathematics Subject Classification ID: 30F60
zbMATH DE Number: 1246348
zbMATH Keywords: Dirichlet integral
zbMATH Keywords: Teichmüller's extremal map
reviewed by: J. Eells
MaRDI profile type: Publication
full work available at URL: jmaa.1998.6129
OpenAlex ID: W2025901842
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DOI: 10.1006/JMAA.1998.6129
description: scientific article; zbMATH DE number 1246348