A regularity theorem for geometric equations
type: Item
instance of: scholarly article
title: A regularity theorem for geometric equations
zbMATH Open document ID: 0961.35048
DOI: 10.1007/BF02922675
author: Lihe Wang
published in: The Journal of Geometric Analysis
publication date: 2000-06-22T00:00:00Z
review text: The paper presents a regularity theorem for general parametric equations of curvature without using surface energies. The equation under consideration is \[ F(\Pi, \nu)=0, \] where \(\Pi\) is the second fundamental form of a surface \(S\) and \(\nu\) is its normal, \(F\) is assumed to be uniformly elliptic along the solution surface and Lipschitz in \(\nu\). The main result is that \(S\) is regular if it is ``flat enough''.
Mathematics Subject Classification ID: 35J60
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 49Q05
zbMATH DE Number: 1463802
zbMATH Keywords: parametric equation of curvature
zbMATH Keywords: regularity
zbMATH Keywords: flat enouth surfaces
reviewed by: E. A. Kalita
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1463802