Unstable extremal surfaces of the ``Shiffman-functional''
type: Item
instance of: scholarly article
title: Unstable extremal surfaces of the ``Shiffman-functional''
zbMATH Open document ID: 1083.49026
author: Xianqiang Yang
published in: Calculus of Variations and Partial Differential Equations
publication date: 2005-02-21T00:00:00Z
review text: The author gives a rigorous proof of \textit{M. Shiffman}'s instability result [Ann. Math. (2) 45, 543--576 (1944; Zbl 0063.06963)] at least for the case of a piecewise linear closed Jordan-curve in \(\mathbb{R}^n\). The present paper is a condensed version of the work [\textit{R. Jakob}, ``Instabile Extremalen des Shiffman-Funktionals'', Bonner Mathematische Schriften 362, Bonn: Universität Bonn, Mathematisches Institut (2003; Zbl 1083.49027)].
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 49J10
Mathematics Subject Classification ID: 49J45
Mathematics Subject Classification ID: 58E12
zbMATH DE Number: 2135743
zbMATH Keywords: parametric functionals
zbMATH Keywords: Plateau problem
zbMATH Keywords: extremal surfaces
zbMATH Keywords: mountain-pass-principle
reviewed by: M. Fuchs
MaRDI profile type: Publication
full work available at URL: s00526-003-0262-5
OpenAlex ID: W2059115106
Wikidata QID: Q125320035
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DOI: 10.1007/S00526-003-0262-5
description: scientific article; zbMATH DE number 2135743