The Hopf-Laplace equation: harmonicity and regularity

DOI10.2422/2036-2145.201203_006zbMath1327.30022arXiv1011.5934OpenAlexW2963582295MaRDI QIDQ5246467

Jani Onninen, Jan Cristina, Tadeusz Iwaniec, Leonid V. Kovalev

Publication date: 21 April 2015

Published in: ANNALI SCUOLA NORMALE SUPERIORE - CLASSE DI SCIENZE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5934

zbMATH Keywords

regularityDirichlet energyinner variationHopf-Laplace equationlimits of homeomorphisms

Mathematics Subject Classification ID

Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62) Differentials on Riemann surfaces (30F30)

Related Items (14)

Kellogg's theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces ⋮ The Dirichlet principle for inner variations ⋮ Monotone Hopf-harmonics ⋮ Analytic characterization of monotone Hopf-harmonics ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ Lipschitz regularity for inner-variational equations ⋮ A Neohookean Model of Plates ⋮ 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians ⋮ Limits of Sobolev homeomorphisms ⋮ Subharmonicity results for the stationary solutions of isotropic energy functionals ⋮ On minimisers of \(L^p\)-mean distortion ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ The Nitsche phenomenon for weighted Dirichlet energy ⋮ Minimisers and Kellogg's theorem

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