Embedded plateau problem
From MaRDI portal
Publication:2880680
DOI10.1090/S0002-9947-2011-05486-3zbMath1242.53069arXiv1005.1723WikidataQ125622755 ScholiaQ125622755MaRDI QIDQ2880680
Publication date: 13 April 2012
Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1005.1723
Minimal surfaces and optimization (49Q05) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) General geometric structures on low-dimensional manifolds (57M50)
Related Items (2)
Existence of embedded minimal disks ⋮ Inverse mean curvature flow of rotationally symmetric hypersurfaces
Cites Work
- Unnamed Item
- Unnamed Item
- Optimal regularity for the Signorini problem
- Coincidence set of minimal surfaces for the thin obstacle
- Topology of three dimensional manifolds and the embedding problems in minimal surface theory
- The existence of embedded minimal surfaces and the problem of uniqueness
- The classical Plateau problem and the topology of three-dimensional manifolds. The embedding of the solution given by Douglas-Morrey and an analytic proof of Dehn's lemma
- Two dimensional variational problems with thin obstacles
- On embedded minimal surfaces
- Extreme curves bound embedded minimal surfaces of the type of the disc
- Embeddedness of minimal surfaces with total boundary curvature at most \(4\pi\)
- Area inequalities for embedded disks spanning unknotted curves
- A proof of the regularity everywhere of the classical solution to Plateau's problem
- Variational problems with inequalities as boundary conditions or how to fashion a cheap hat for Giacometti's brother
- Regularity of minimizing surfaces of prescribed mean curvature
- On the coincidence set in variational inequalities
- Verzweigungspunkte von H-Flächen. II
- The problem of Plateau on a Riemannian manifold
- Shrinkwrapping and the taming of hyperbolic 3-manifolds
- The Existence of Least Area Surfaces in 3-Manifolds
- Solution of the Problem of Plateau
- Shapes of embedded minimal surfaces
- On the geometric and topological rigidity of hyperbolic 3-manifolds
This page was built for publication: Embedded plateau problem