On a free boundary problem for minimal surfaces
type: Item
instance of: scholarly article
title: On a free boundary problem for minimal surfaces
zbMATH Open document ID: 0537.35037
DOI: 10.1007/BF01388643
author: Michael Struwe
published in: Inventiones Mathematicae
publication date: 1984-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/143110
review text: For \(C^ 4\)-embedded manifolds \(S\subset {\mathbb{R}}^ 3\) which are diffeomorphic to the standard sphere in \({\mathbb{R}}^ 3\) the existence of non-constant minimal surfaces bounded by S and intersecting S orthogonally along their free boundaries is deduced. The proof uses an adaptation of a method devised by Sacks and Uhlenbeck for the study of harmonic mappings and a mountain-pass-type characterization of approximate solution surfaces.
Mathematics Subject Classification ID: 35J65
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 58E12
Mathematics Subject Classification ID: 35J50
zbMATH DE Number: 3853609
zbMATH Keywords: existence
zbMATH Keywords: non-constant minimal surfaces
zbMATH Keywords: mountain-pass-type characterization
MaRDI profile type: Publication
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OpenAlex ID: W2090674784
description: scientific article; zbMATH DE number 3853609