\(C^ 2\)-regularity for partially free minimal surfaces
type: Item
instance of: scholarly article
title: \(C^ 2\)-regularity for partially free minimal surfaces
zbMATH Open document ID: 0564.49024
DOI: 10.1007/BF01246945
author: G. Dziuk
published in: Mathematische Zeitschrift
publication date: 1985-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/173568
review text: The main result of this paper is the following theorem: ''Let S be an admissable supporting surface of class \(C^{m,\mu}\) (m\(\in N\), \(m\geq 2\), \(0\leq \mu \leq 1)\) and let x be a stationary minimal surface on \(Q^+=\{(u,v)| | u| <1,\quad 0<v<1\}.\) Then \(x\in C^{m,\mu}(Q^+\cup I)\), if \(0<\mu <1\); \(x\in C^{m- 1,\gamma}(Q^+\cup I)\) for every \(\gamma\in (0,1)\), if \(\mu =0\); \(x\in C^{m,\gamma}(Q^+\cup I)\) for every \(\gamma\in (0,1)\), if \(\mu =1\), where \(I=(-1,1)\times \{0\}''\).
reviewed by: Constantin Udrişte
Mathematics Subject Classification ID: 49Q05
Mathematics Subject Classification ID: 53A10
Mathematics Subject Classification ID: 35B65
zbMATH DE Number: 3899648
zbMATH Keywords: admissable supporting surface
zbMATH Keywords: stationary minimal surface
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3899648