Doubly connected minimal surfaces and extremal harmonic mappings
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Publication:692341
DOI10.1007/s12220-010-9212-6zbMath1281.53014arXiv0912.3542OpenAlexW3103451084WikidataQ110124887 ScholiaQ110124887MaRDI QIDQ692341
Jani Onninen, Tadeusz Iwaniec, Leonid V. Kovalev
Publication date: 5 December 2012
Published in: The Journal of Geometric Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0912.3542
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Harmonic maps, etc. (58E20) Quasiconformal mappings in the complex plane (30C62)
Related Items (10)
Existence of maximal surface containing given curve and special singularity ⋮ Harmonic maps with prescribed degrees on the boundary of an annulus and bifurcation of catenoids ⋮ \((K, K^{\prime})\)-quasiconformal harmonic mappings ⋮ The Nitsche conjecture ⋮ Deformations of bi-conformal energy and a new characterization of quasiconformality ⋮ 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians ⋮ On J. C. C. Nitsche type inequality for annuli on Riemann surfaces ⋮ Quasiconformal harmonic mappings between \(C^{1,\mu}\) Euclidean surfaces ⋮ Radial symmetry of \(p\)-harmonic minimizers ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy
Cites Work
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- Minimal surfaces bounded by convex curves in parallel planes
- Deformations of annuli with smallest mean distortion
- Doubly-connected minimal surfaces
- On minimal annuli in a slab
- Minimal annuli with and without slits.
- On the Nitsche conjecture for harmonic mappings in \(\mathbb R^2\) and \(\mathbb R^3\)
- Bending the helicoid
- Complete minimal Möbius strips in \(\mathbb R^n\) and the Björling problem
- The isoperimetric inequality for multiply-connected minimal surfaces
- Remarks on the isoperimetric inequality for multiply-connected H- surfaces
- Dense solutions to the Cauchy problem for minimal surfaces
- Harmonic mappings of an annulus, Nitsche conjecture and its generalizations
- THE MODULUS OF THE IMAGE ANNULI UNDER UNIVALENT HARMONIC MAPPINGS AND A CONJECTURE OF NITSCHE
- On the Module of Doubly-Connected Regions Under Harmonic Mappings
- The Nitsche conjecture
- 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
- Doubly-Connected Minimal Surfaces
- Univalent harmonic mappings of annuli and a conjecture of J. C. C. Nitsche
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