Continuity of minimal surfaces with piecewise smooth free boundaries
type: Item
instance of: scholarly article
title: Continuity of minimal surfaces with piecewise smooth free boundaries
zbMATH Open document ID: 0596.53006
DOI: 10.1007/BF01456989
published in: Mathematische Annalen
publication date: 1987-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/164224
review text: This paper proves the continuity up to the boundary of a (not necessarily area minimizing) minimal surface of finite area in a Riemannian manifold of bounded geometry and with a free boundary consisting of various pieces of (possibly various dimensions) of class \(C^ 2\) meeting at nonzero angles, having bounded second fundamental forms and uniform neighborhoods in which the nearest point projection is uniquely defined.
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 49Q05
zbMATH DE Number: 3960437
zbMATH Keywords: continuity up to the boundary
zbMATH Keywords: minimal surface
zbMATH Keywords: bounded geometry
zbMATH Keywords: free boundary
author: Jürgen Jost
MaRDI profile type: Publication
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OpenAlex ID: W2114719697
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description: scientific article; zbMATH DE number 3960437