Quasiconformal maps with controlled Laplacian

DOI10.1007/S11854-018-0072-5zbMath1421.30030arXiv1410.8439OpenAlexW2963098870WikidataQ109553660 ScholiaQ109553660MaRDI QIDQ2000393

Eero Saksman, David Kalaj

Publication date: 28 June 2019

Published in: Journal d'Analyse Mathématique (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.8439

zbMATH Keywords

\(K\)-quasiconformal mapping\(C^2\)-Jordan domain

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62)

Related Items (11)

Harmonic quasiconformal mappings between \(\mathcal{C}^1\) smooth Jordan domains ⋮ General Heinz-Schwarz type inequalities for certain mappings in space ⋮ Quasiconformal solutions to elliptic partial differential equations ⋮ ON A QUASI‐ISOMETRY FOR QUASICONFORMAL MAPPING SATISFYING POISSON DIFFERENTIAL INEQUALITY ⋮ The Heinz type inequality, Bloch type theorem and Lipschitz characteristic of polyharmonic mappings ⋮ On Pavlovic's theorem in space ⋮ QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY ⋮ Bi-Lipschitz characteristic of quasiconformal self-mappings of the unit disk satisfying bi-harmonic equation ⋮ On asymptotically sharp bi-Lipschitz inequalities of quasiconformal mappings satisfying inhomogeneous polyharmonic equations ⋮ Quasiconformal mappings with controlled Laplacian and Hölder continuity ⋮ On certain quasiconformal and elliptic mappings

Cites Work

• A priori estimate of gradient of a solution of a certain differential inequality and quasiconformal mappings
• On Pavlovic's theorem in space
• The theory of weights and the Dirichlet problem for elliptic equations
• Bilipschitz and quasiconformal rotation, stretching and multifractal spectra
• Two monotonic, singular, uniformly almost smooth functions
• Three notes on perfect linear sets
• Carathéodory and Smirnov type theorems for harmonic mappings of the unit disk onto surfaces
• On quasiconformal self-mappings of the unit disk satisfying Poisson’s equation
• On boundary correspondences under quasiconformal harmonic mappings between smooth Jordan domains
• Harmonic mappings and distance function
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Inner Functions, Bloch Spaces and Symmetric Measures
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