Boundary regularity of \(p\)-harmonic maps with free and partially constrained boundary conditions
type: Item
instance of: scholarly article
title: Boundary regularity of \(p\)-harmonic maps with free and partially constrained boundary conditions
zbMATH Open document ID: 0913.58011
DOI: 10.1007/BF02921706
author: C. E. Garza-Hume
published in: The Journal of Geometric Analysis
publication date: 1998-11-05T00:00:00Z
review text: The regularity of \(p\)-harmonic maps is studied by using the work of \textit{R. Hardt} and \textit{F. H. Lin}. For the regularity theory, the author uses a hybrid inequality that relates the norm of a minimizer and its gradient. This inequality is a corollary of an ``extension'' lemma which states roughly that if a function is defined on the boundary of a set and satisfies a small oscillation condition then it can be extended to the inside of that set with a particular bound for the energy.
Mathematics Subject Classification ID: 58E20
Mathematics Subject Classification ID: 35R35
Mathematics Subject Classification ID: 31C05
zbMATH DE Number: 1192505
zbMATH Keywords: boundary regularity
zbMATH Keywords: \(p\)-harmonic maps
reviewed by: Yves Cherruault
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf02921706
OpenAlex ID: W2010271451
description: scientific article; zbMATH DE number 1192505