The plateau problem for the Busemann-Hausdorff area in arbitrary codimension
From MaRDI portal
Publication:1695703
DOI10.1007/s40879-017-0163-3zbMath1383.49050OpenAlexW2729365704WikidataQ125949037 ScholiaQ125949037MaRDI QIDQ1695703
Sven Pistre, Heiko von der Mosel
Publication date: 8 February 2018
Published in: European Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40879-017-0163-3
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) Non-Euclidean differential geometry (53A35) Local differential geometry of Finsler spaces and generalizations (areal metrics) (53B40)
Related Items
The Plateau-Douglas problem for singular configurations and in general metric spaces, Majorization by hemispheres and quadratic isoperimetric constants
Cites Work
- Area minimizing discs in metric spaces
- On Finsler geometry of submanifolds
- On two-dimensional parametric variational problems
- A Bernstein type theorem on a Randers space
- Minimality of planes in normed spaces
- Plateau's problem in Finsler 3-space
- What is wrong with the Hausdorff measure in Finsler spaces
- Minimal Surfaces
- Regularity of Minimal Surfaces
- Global Analysis of Minimal Surfaces
- Dominance Functions for Parametric Lagrangians
- Plateau's problem for parametric double integrals: I. Existence and regularity in the interior
- Plateaus problem for parametric double integrals: II. Regularity at the boundary
- Conformal mapping of multiply connected Riemann domains by a variational approach
- A Theorem on Convex Bodies of the Brunn-Minkowski Type
- Semicontinuity problems in the calculus of variations
- Direct methods in the calculus of variations
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item