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On Harmonic Quasiconformal Quasi-Isometries

2010, Journal of Inequalities and Applications

Abstract

The purpose of this paper is to explore conditions which guarantee Lipschitz-continuity of harmonic maps w.r.t. quasihyperbolic metrics. For instance, we prove that harmonic quasiconformal maps are Lipschitz w.r.t. quasihyperbolic metrics.