On regular solutions of the Dirichlet problem for the Beltrami equations

DOI10.1080/17476931003628224zbMath1208.30021OpenAlexW2157374033MaRDI QIDQ3066994

Yu. P. Dybov

Publication date: 20 January 2011

Published in: Complex Variables and Elliptic Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17476931003628224

zbMATH Keywords

Dirichlet problemBeltrami equationbounded mean oscillationpaths families

Mathematics Subject Classification ID

Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (9)

On the boundary behaviour of solutions to the Beltrami equations ⋮ Dirichlet problem for the general Beltrami equation in Jordan domains ⋮ Boundary behavior and the Dirichlet problem for Beltrami equations ⋮ On recent advances in the Beltrami equations ⋮ On the Dirichlet problem for the Beltrami equations in finitely connected domains ⋮ On the compactness of classes of the solutions of the Dirichlet problem ⋮ On the boundary behavior of solutions of the Beltrami equations ⋮ The Riemann-Hilbert problem for degenerate elliptic complex equations and its application ⋮ On the Dirichlet problem for the Beltrami equation

Cites Work

• On ring solutions of Beltrami equations
• Quasiextremal distance domains and extension of quasiconformal mappings
• A p-extremal length and p-capacity equality
• Degree theory of BMO. I: Compact manifolds without boundaries
• Regularity of the inverse of a planar Sobolev homeomorphism
• Extremal length and p-capacity
• Mappings with finite length distortion
• On functions of bounded mean oscillation
• ACL and differentiability of the open discrete ring mappings
• On the Beltrami equations with two characteristics
• On existence and uniqueness of degenerate beltrami equation
• On the degenerate Beltrami equation

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