Article
Licensed
Unlicensed
Requires Authentication
Plateau’s problem for infinite contours
-
Friedrich Tomi
Published/Copyright:
September 25, 2009
Abstract
Plateau’s problem is solved for a certain class of properly embedded unbounded curves in R3, i.e.the existence of simply connected properly immersed minimal surfaces is shown which have a given curve from this class as their boundary. The class of admissible boundary contours includes all properly embedded piecewise C1,α curves with polynomial ends. The constructed surfaces have quadratic area growth.
Published Online: 2009-09-25
Published in Print: 2009-07
© by Oldenbourg Wissenschaftsverlag, Heidelberg, Germany
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- Preface
- Floating criteria in three dimensions
- An energy estimate for the difference of solutions for the n-dimensional equation with prescribed mean curvature and removable singularities
- Plateau’s problem for infinite contours
- Local isometric embedding of two-dimensional Riemannian metrics under geometric initial conditions
- Affine harmonic maps
- Boundary regularity via Uhlenbeck–Rivière decomposition
- Variational Heuristics for Optimal Transportation Maps on Compact Manifolds
Articles in the same Issue
- Preface
- Floating criteria in three dimensions
- An energy estimate for the difference of solutions for the n-dimensional equation with prescribed mean curvature and removable singularities
- Plateau’s problem for infinite contours
- Local isometric embedding of two-dimensional Riemannian metrics under geometric initial conditions
- Affine harmonic maps
- Boundary regularity via Uhlenbeck–Rivière decomposition
- Variational Heuristics for Optimal Transportation Maps on Compact Manifolds
