On the theory of convergence and compactness for Beltrami equations

DOI10.1007/s11253-011-0510-3zbMath1247.30036OpenAlexW2038425684MaRDI QIDQ765388

Tat'yana V. Lomako

Publication date: 19 March 2012

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

Full work available at URL: https://doi.org/10.1007/s11253-011-0510-3

zbMATH Keywords

capacitycompactnessBeltrami equationconvergence of plane mappingsmoduli of path families

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Quasiconformal mappings in the complex plane (30C62)

Related Items (6)

On global behavior of mappings with integral constraints ⋮ On the boundary behavior of regular solutions of the degenerate Beltrami equations ⋮ On compact classes of Beltrami solutions and Dirichlet problem ⋮ On compact classes of solutions of Dirichlet problem in simply connected domains ⋮ To the theory of variational method for Beltrami equations ⋮ Theorem on closure and the criterion of compactness for the classes of solutions of the Beltrami equations

Cites Work

• On solutions of the Beltrami equation
• Quasiconformal mappings with restrictions in measure
• The N\(^{-1}\)-property of maps and Luzin's condition (N)
• Regularity of the inverse of a planar Sobolev homeomorphism
• Equicontinuity of mappings quasiconformal in the mean
• Moduli in Modern Mapping Theory
• On regular homeomorphisms in the plane
• On the Beltrami equations with two characteristics
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