Mappings of least Dirichlet energy and their Hopf differentials

DOI10.1007/s00205-012-0606-4zbMath1294.30085arXiv1202.1017OpenAlexW3102245299WikidataQ110213823 ScholiaQ110213823MaRDI QIDQ393998

Tadeusz Iwaniec, Jani Onninen

Publication date: 24 January 2014

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.1017

zbMATH Keywords

mappings of least Dirichlet energymonoton mappingsplanar domains

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Miscellaneous topics of analysis in the complex plane (30E99)

Related Items (16)

Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids ⋮ The Dirichlet principle for inner variations ⋮ Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces ⋮ Radó-Kneser-Choquet theorem ⋮ Monotone Hopf-harmonics ⋮ Jacobian of weak limits of Sobolev homeomorphisms ⋮ Mapping of least \(\rho \)-Dirichlet energy between doubly connected Riemann surfaces ⋮ A Neohookean Model of Plates ⋮ Limits of Sobolev homeomorphisms ⋮ Subharmonicity results for the stationary solutions of isotropic energy functionals ⋮ The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces ⋮ On minimisers of \(L^p\)-mean distortion ⋮ Smoothing Defected Welds and Hairline Cracks ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ Monotone Sobolev mappings of planar domains and surfaces ⋮ The Nitsche phenomenon for weighted Dirichlet energy

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