\((K, K^{\prime})\)-quasiconformal harmonic mappings
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Publication:658565
DOI10.1007/s11118-011-9222-4zbMath1252.30019OpenAlexW2107828816MaRDI QIDQ658565
David Kalaj, Miodrag S. Mateljević
Publication date: 12 January 2012
Published in: Potential Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11118-011-9222-4
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62)
Related Items (24)
QUASICONFORMAL SOLUTIONS OF POISSON EQUATIONS ⋮ Kellogg's theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces ⋮ Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces ⋮ Hölder continuity of quasiconformal harmonic mappings from the unit ball to a spatial domain with \(C^1\) boundary ⋮ Quasiconformal harmonic mappings between the unit ball and a spatial domain with \(C^{1, \alpha}\) boundary ⋮ Unnamed Item ⋮ Isoperimetric type inequalities for mappings induced by weighted Laplace differential operators ⋮ Quasiconformal solutions to elliptic partial differential equations ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ On Lipschitz continuity of solutions of hyperbolic Poisson's equation ⋮ Hyperbolically Lipschitz continuity, area distortion, and coefficient estimates for \((K, K')\)-quasiconformal harmonic mappings of the unit disk ⋮ Remarks on ```Norm estimates of the partial derivatives for harmonic mappings and harmonic quasiregular mappings ⋮ Bi-Lipschitz characteristic of quasiconformal self-mappings of the unit disk satisfying bi-harmonic equation ⋮ Representation formula and bi-Lipschitz continuity of solutions to inhomogeneous biharmonic Dirichlet problems in the unit disk ⋮ Lipschitz continuity for solutions of the \(\bar{\alpha}\)-Poisson equation ⋮ On the Lipschitz continuity of certain quasiregular mappings between smooth Jordan domains ⋮ On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations ⋮ A representation theorem for standard weighted harmonic mappings with an integer exponent and its applications ⋮ Lipschitz continuity for the solutions of triharmonic equation ⋮ A local Hölder estimate of (\(K_1,K_2\))-quasiconformal mappings between hypersurfaces ⋮ Quasiconformal mappings with controlled Laplacian and Hölder continuity ⋮ On certain quasiconformal and elliptic mappings ⋮ Minimisers and Kellogg's theorem ⋮ Quasiconformal and HQC mappings between Lyapunov Jordan domains
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