Superharmonicity of logarithm of Jacobian of harmonic mappings between surfaces

DOI10.2298/FIL1907979KzbMath1499.30207arXiv1603.06533MaRDI QIDQ5080817

David Kalaj

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1603.06533

zbMATH Keywords

harmonic mappingssubharmonic functions

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62)

Related Items (1)

The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces

Cites Work

• Isotropic \(p\)-harmonic systems in 2D Jacobian estimates and univalent solutions
• Energy-minimal diffeomorphisms between doubly connected Riemann surfaces
• Harmonic maps between surfaces (with a special chapter on conformal mappings)
• Univalent solutions of elliptic systems of Heinz-Lewy type
• Über das Nichtverschwinden der Funktionaldeterminante bei einer Klasse eineindeutiger Abbildungen
• Radó-Kneser-Choquet theorem
• Quasiconformal harmonic functions between convex domains
• Bi-lipschicity of quasiconformal harmonic mappings in the plane
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