Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric

DOI10.1007/S11785-017-0716-YzbMath1404.30028arXiv1706.10175OpenAlexW2963478432MaRDI QIDQ1623874

Peijin Li, Saminathan Ponnusamy

Publication date: 23 November 2018

Published in: Complex Analysis and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1706.10175

zbMATH Keywords

quasiconformal mappingsdistance ratio metricharmonic and polyharmonic mappings

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30)

Related Items (8)

General Heinz-Schwarz type inequalities for certain mappings in space ⋮ On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ Some inequalities for self-mappings of unit ball satisfying the invariant Laplacians ⋮ On Schwarz-Pick-type inequality and Lipschitz continuity for solutions to nonhomogeneous biharmonic equations ⋮ On the behavior of Orlicz-Sobolev mappings with branching on the unit sphere ⋮ Free distance ratio mappings in Banach spaces ⋮ Some geometric properties of complex-valued kernel \(\alpha \)-harmonic mappings ⋮ Some coefficient estimates on real kernel 𝛼-harmonic mappings

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