On Beltrami equations with inverse conditions and hydrodynamic normalization

DOI10.1007/s10474-023-01332-8arXiv2203.02562MaRDI QIDQ6111802

O. P. Dovhopiatyi, Evgeny Aleksandrovich Sevost'yanov

Publication date: 4 August 2023

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.02562

zbMATH Keywords

manifoldmetric spacemapping with finite and bounded distortion

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Potentials and capacity, harmonic measure, extremal length and related notions in two dimensions (31A15) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20) Quasiconformal mappings in metric spaces (30L10)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On convergence analysis of space homeomorphisms
• The Beltrami equation. A geometric approach
• Toward the theory of ring \(Q\)-homeomorphisms
• A p-extremal length and p-capacity equality
• Complex dynamics
• The N\(^{-1}\)-property of maps and Luzin's condition (N)
• On the existence of solutions of the Beltrami equations with conditions on inverse dilatations
• Logarithmic Hölder continuous mappings and Beltrami equation
• On the compactness of classes of the solutions of the Dirichlet problem
• Finite mean oscillation and the Beltrami equation
• Regularity of the inverse of a planar Sobolev homeomorphism
• Lectures on \(n\)-dimensional quasiconformal mappings
• Mappings with finite length distortion
• On the existence of solutions of quasilinear Beltrami equations with two characteristics
• Open discrete mappings having local ACL ⁿ inverses
• Moduli in Modern Mapping Theory
• On regular homeomorphisms in the plane
• Lusin's condition (N) and mappings of the class W1, n.
• Local homeomorphisms having localACLⁿinverses
• Extremal Length and Conformal Capacity
• On compact classes of Beltrami solutions and Dirichlet problem

This page was built for publication: On Beltrami equations with inverse conditions and hydrodynamic normalization