Lipschitz property of minimisers between double connected surfaces

DOI10.1007/s12220-019-00235-xzbMath1460.31001arXiv1902.04167OpenAlexW2953460169MaRDI QIDQ2658974

David Kalaj

Publication date: 25 March 2021

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1902.04167

zbMATH Keywords

quasiconformal mappingsharmonic mappingsdoubly connected domainsminimisers of the Dirichlet energy

Mathematics Subject Classification ID

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

Related Items (3)

Kellogg's theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces ⋮ Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces ⋮ Minimisers and Kellogg's theorem

Cites Work

• Energy-minimal diffeomorphisms between doubly connected Riemann surfaces
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• On certain nonlinear elliptic differential equations and univalent mappings
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• Deformations of annuli with smallest mean distortion
• A note on harmonic maps between surfaces
• On conformal mappings with derivative in VMOA
• A Hölder estimate for quasiconformal maps between surfaces in Euclidean space
• \((n,\rho)\)-harmonic mappings and energy minimal deformations between annuli
• On the Nitsche conjecture for harmonic mappings in \(\mathbb R^2\) and \(\mathbb R^3\)
• Harmonic maps and the Schoen conjecture
• THE MODULUS OF THE IMAGE ANNULI UNDER UNIVALENT HARMONIC MAPPINGS AND A CONJECTURE OF NITSCHE
• Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture
• Harmonic mappings and distance function
• Elliptic Partial Differential Equations of Second Order
• Hereditary circularity for energy minimal diffeomorphisms
• Hereditary convexity for harmonic homeomorphisms
• The Nitsche conjecture
• Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche
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