On embedded minimal disks in convex bodies

J. Jost; M. Grüter

doi:10.1016/s0294-1449(16)30378-x

JournalsaihpcVol. 3, No. 5pp. 345–390

On embedded minimal disks in convex bodies

J. Jost
Centre for Mathematical Analysis Hanna Neumann Building, Australian National University GPO Box 4, Canberra ACT 2601, Australia
M. Grüter
Centre for Mathematical Analysis Hanna Neumann Building, Australian National University GPO Box 4, Canberra ACT 2601, Australia

Download PDF

Abstract

If $A \subset R^{3}$ is a convex body we prove the existence of an embedded minimal disk $M \subset A$ meeting $\partial A$ orthogonally.

Résumé

Si $A \subset R^{3}$ est un ensemble convexe, nous prouvons l’existence d’une sous-variété minimale $M \subset A$ du type disque, intersectant $\partial A$ orthogonalement.

Cite this article

J. Jost, M. Grüter, On embedded minimal disks in convex bodies. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986), no. 5, pp. 345–390

DOI 10.1016/S0294-1449(16)30378-X