On stability in the \(C\)-norm of classes of harmonic mappings

DOI10.1007/BF02677514zbMath0916.30019OpenAlexW4252542492MaRDI QIDQ1288123

Anatoliĭ Pavlovich Kopylov

Publication date: 11 May 1999

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

Full work available at URL: https://doi.org/10.1007/bf02677514

zbMATH Keywords

integral operatorGreen function

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (4)

Stability in the \(C^1\)-norm of sheaves of solutions to elliptic systems of second-order linear partial differential equations ⋮ Properties of mappings close to harmonic mappings ⋮ Stability in the \(C^1\)-norm of classes of harmonic mappings ⋮ On stability in the \(C\)-norm of classes of harmonic mappings

Cites Work

• Stability in the \(C^1\)-norm of classes of harmonic mappings
• On stability in the \(C\)-norm of classes of harmonic mappings
• Stability of classes of quasiregular mappings in several spatial variables
• On stability of classes of conformal mappings. III
• On the existence of certain singular integrals
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