On the Nitsche conjecture for harmonic mappings in \(\mathbb R^2\) and \(\mathbb R^3\)

DOI10.1007/BF02762382zbMath1136.31300OpenAlexW1980131781WikidataQ123097796 ScholiaQ123097796MaRDI QIDQ2382260

Publication date: 28 September 2007

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02762382

Mathematics Subject Classification ID

General theory of conformal mappings (30C35) Harmonic, subharmonic, superharmonic functions in higher dimensions (31B05) Conformal mappings of special domains (30C20) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05)

Related Items (22)

\(\sigma _2\)-diffeomorphisms between 4-dimensional annuli ⋮ A note on the \(\rho\)-Nitsche conjecture ⋮ Kellogg's theorem for diffeomophic minimizers of Dirichlet energy between doubly connected Riemann surfaces ⋮ Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture ⋮ On the univalent solution of PDE \(\Delta u=f\) between spherical annuli ⋮ Lipschitz property of minimisers between double connected surfaces ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ Nitsche type inequality for hyperbolic harmonic mappings between annuli in the unit ball \(\mathbb{B}^3\) ⋮ Mapping of least \(\rho \)-Dirichlet energy between doubly connected Riemann surfaces ⋮ On a J. C. C. Nitsche's type inequality for the hyperbolic space \(\mathbf H^3\) ⋮ Addendum to ``Harmonic diffeomorphisms between the annuli with rotational symmetry ⋮ \((n,\rho)\)-harmonic mappings and energy minimal deformations between annuli ⋮ 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 ⋮ Doubly connected minimal surfaces and extremal harmonic mappings ⋮ Harmonic maps between annuli on Riemann surfaces ⋮ Deformations of annuli with smallest mean distortion ⋮ Harmonic maps between two concentric annuli in \(\mathbb{R}^3\) ⋮ Hyperelastic deformations and total combined energy of mappings between annuli ⋮ The existence of minimizers of energy for diffeomorphisms between two-dimensional annuli in \(\mathbb{R}^2\) and \(\mathbb{R}^3\) ⋮ Minimisers and Kellogg's theorem

Cites Work

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