On Quasi-conformal Harmonic Maps Between Surfaces

DOI10.1093/IMRN/RNT203zbMath1310.30020arXiv0905.0699OpenAlexW2963866934MaRDI QIDQ5174210

David Kalaj

Publication date: 17 February 2015

Published in: International Mathematics Research Notices (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0905.0699

zbMATH Keywords

quasi-conformal harmonic mappingsRiemann surfaces with smooth boundaries

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Riemann surfaces (30F99)

Related Items (8)

Lipschitz continuity of quasiconformal mappings and of the solutions to second order elliptic PDE with respect to the distance ratio metric ⋮ General Heinz-Schwarz type inequalities for certain mappings in space ⋮ On Schwarz-Pick type inequality for mappings satisfying Poisson differential inequality ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING 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 ⋮ Hyperbolically Lipschitz continuity, area distortion, and coefficient estimates for \((K, K')\)-quasiconformal harmonic mappings of the unit disk ⋮ Lipschitz continuity for solutions of the \(\bar{\alpha}\)-Poisson equation

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