On Harmonic Quasiconformal Quasi-Isometries

By M. Mateljevi'c, M. Vuorinen. 2007

79 citations recorded by the source corpus.

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.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/152170167e2b722545129f419c650fc514bbfb03

Citations in the corpus

• On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation (2011, unknown): “In [16], the Lipschitz character of q.c. harmonic self-mappings of the unit disk was established with respect to the hyperbolic metric and this was generalized to an arbitrary domain in [18].”