On Harmonic Quasiconformal Quasi-Isometries

<p>Abstract</p> <p>The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.</p...

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Main Authors: Vuorinen M, Mateljevi&#263; M
Format: Article
Language:English
Published: SpringerOpen 2010-01-01
Series:Journal of Inequalities and Applications
Online Access:http://www.journalofinequalitiesandapplications.com/content/2010/178732
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spelling doaj-186e1ad460464d02bd68dc26366312832020-11-25T02:42:45ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101178732On Harmonic Quasiconformal Quasi-IsometriesVuorinen MMateljevi&#263; M<p>Abstract</p> <p>The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.</p>http://www.journalofinequalitiesandapplications.com/content/2010/178732
collection DOAJ
language English
format Article
sources DOAJ
author Vuorinen M
Mateljevi&#263; M
spellingShingle Vuorinen M
Mateljevi&#263; M
On Harmonic Quasiconformal Quasi-Isometries
Journal of Inequalities and Applications
author_facet Vuorinen M
Mateljevi&#263; M
author_sort Vuorinen M
title On Harmonic Quasiconformal Quasi-Isometries
title_short On Harmonic Quasiconformal Quasi-Isometries
title_full On Harmonic Quasiconformal Quasi-Isometries
title_fullStr On Harmonic Quasiconformal Quasi-Isometries
title_full_unstemmed On Harmonic Quasiconformal Quasi-Isometries
title_sort on harmonic quasiconformal quasi-isometries
publisher SpringerOpen
series Journal of Inequalities and Applications
issn 1025-5834
1029-242X
publishDate 2010-01-01
description <p>Abstract</p> <p>The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps with respect to quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz with respect to quasihyperbolic metrics.</p>
url http://www.journalofinequalitiesandapplications.com/content/2010/178732
work_keys_str_mv AT vuorinenm onharmonicquasiconformalquasiisometries
AT mateljevi263m onharmonicquasiconformalquasiisometries
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