On harmonic quasiconformal quasi-isometries

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.

arXiv comment19 pages

References in corpus (1)

• Moduli of Continuity of Quasiregular Mappings

Cited by in corpus (1)

• On certain nonlinear elliptic PDE and quasiconfomal mapps between Euclidean surfaces