The harmonic mapping problem and affine capacity

DOI10.1017/S0308210510000107zbMath1267.30059arXiv1001.2124MaRDI QIDQ3097991

Jani Onninen, Tadeusz Iwaniec, Leonid V. Kovalev

Publication date: 10 November 2011

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1001.2124

zbMATH Keywords

doubly-connected domainsharmonic homeomorphism

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic functions on Riemann surfaces (30F15) Quasiconformal mappings in the complex plane (30C62)

Related Items (9)

Harmonic mappings with hereditary starlikeness ⋮ Energy-minimal diffeomorphisms between doubly connected Riemann surfaces ⋮ Mapping of least \(\rho \)-Dirichlet energy between doubly connected Riemann surfaces ⋮ Existence of energy-minimal diffeomorphisms between doubly connected domains ⋮ The Nitsche conjecture ⋮ 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians ⋮ On J. C. C. Nitsche type inequality for annuli on Riemann surfaces ⋮ Harmonic hereditary convexity ⋮ Moduli of doubly connected domains under univalent harmonic maps

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