On the Dirichlet problem for the Beltrami equations in finitely connected domains

DOI10.1007/s11253-012-0699-9zbMath1276.30039OpenAlexW1990790566MaRDI QIDQ1937950

I. V. Petkov, Vladimir I. Ryazanov, D. A. Kovtonyuk

Publication date: 1 February 2013

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-012-0699-9

zbMATH Keywords

Dirichlet problemdilatationBeltrami equationJordan domain

Mathematics Subject Classification ID

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

Related Items (7)

Dirichlet problem for the general Beltrami equation in Jordan domains ⋮ Boundary behavior and the Dirichlet problem for Beltrami equations ⋮ On integral conditions for the general Beltrami equations ⋮ BMO and Dirichlet problem for degenerate Beltrami equation ⋮ On divergence-type linear and quasi-linear equations in the complex plane ⋮ On recent advances in boundary-value problems in the plane ⋮ On the Riemann-Hilbert problem for the Beltrami equations in quasidisks

Cites Work

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• On integral conditions for the general Beltrami equations
• On ring solutions of Beltrami equations
• On regular solutions of the Dirichlet problem for the Beltrami equations
• On extension of some generalizations of quasiconformal mappings to a boundary
• On strong solutions of the Beltrami equations
• Moduli in Modern Mapping Theory
• On the Beltrami equations with two characteristics
• Rings and Quasiconformal Mappings in Space

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