Harmonic mappings of multiply connected domains

DOI10.2140/pjm.1997.180.201zbMath0885.30020OpenAlexW2009515573MaRDI QIDQ1816517

Peter Duren, Walter Hengartner

Publication date: 15 December 1996

Published in: Pacific Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2140/pjm.1997.180.201

zbMATH Keywords

dilatationconvex domainharmonic mappingmultiply connected domainsRadó-Kneser-Choquet theoremcanonical mappingconnected domaindomains of connectivity

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Geometric function theory (30C99)

Related Items (18)

One-to-one piecewise linear mappings over triangulations ⋮ Lindelöf theorem for harmonic mappings ⋮ Planar domain parameterization with THB-splines ⋮ Radó-Kneser-Choquet theorem ⋮ A note on the valency of harmonic maps ⋮ Boundary values versus dilatations of harmonic mappings ⋮ On an improved PDE-based elliptic parameterization method for isogeometric analysis using preconditioned Anderson acceleration ⋮ THB-splines multi-patch parameterization for multiply-connected planar domains via template segmentation ⋮ Invertible harmonic mappings of the unit disk onto Dini smooth Jordan domains ⋮ Radó-Kneser-Choquet Theorem for simply connected domains ($p$-harmonic setting) ⋮ Solutions to the Pólya-Szegö conjecture and the weak Eshelby conjecture ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ The role of PDE-based parameterization techniques in gradient-based IGA shape optimization applications ⋮ Constructing high-quality planar NURBS parameterization for isogeometric analysis by adjustment control points and weights ⋮ On boundary correspondences under quasiconformal harmonic mappings between smooth Jordan domains ⋮ Valancy of harmonic mappings onto bounded convex domains ⋮ Isogeometric collocation method based on residual parameterization of planar physical domain ⋮ Muckenhoupt weights and Lindelöf theorem for harmonic mappings

This page was built for publication: Harmonic mappings of multiply connected domains