Quasiconformal mappings with controlled Laplacian and Hölder continuity

DOI10.5186/AASFM.2019.4440zbMath1422.30034OpenAlexW2955544114MaRDI QIDQ5224337

David Kalaj, Arsen Zlatičanin

Publication date: 23 July 2019

Published in: Annales Academiae Scientiarum Fennicae Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5186/aasfm.2019.4440

zbMATH Keywords

Poisson equationLipschitz continuity\(K\)-quasiconformal mappings

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65)

Related Items (4)

Harmonic quasiconformal mappings between \(\mathcal{C}^1\) smooth Jordan domains ⋮ Quasiconformal harmonic mappings between the unit ball and a spatial domain with \(C^{1, \alpha}\) boundary ⋮ Quasiconformal solutions to elliptic partial differential equations ⋮ QUASICONFORMAL HARMONIC MAPPINGS BETWEEN DOMAINS CONTAINING INFINITY

Cites Work

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• A priori estimate of gradient of a solution of a certain differential inequality and quasiconformal mappings
• \((K, K^{\prime})\)-quasiconformal harmonic mappings
• On Pavlovic's theorem in space
• Inner estimate and quasiconformal harmonic maps between smooth domains
• Continuation of quasiconformal mappings
• Quasiconformal maps with controlled Laplacian
• Heinz type inequalities for Poisson integrals
• Quasiconformal harmonic mappings between Dini-smooth Jordan domains
• Three notes on perfect linear sets
• The L\(^p\)-integrability of the partial derivatives of a quasiconformal mapping
• 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
• Boundary Hölder Continuity and Quasiconformal Mappings
• Elliptic Partial Differential Equations of Second Order
• Quasiconformal and HQC mappings between Lyapunov Jordan domains
• Quasiconformal and Lipschitz harmonic mappings of the unit disk onto bounded convex domains

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