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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Bibliographic Details
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
Description
Summary:<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>
ISSN:1025-5834
1029-242X