Area-minimizing integral currents with movable boundary parts of prescribed mass
- 1 August 1989
- journal article
- Published by European Mathematical Society - EMS - Publishing House GmbH in Annales de l'Institut Henri Poincaré C, Analyse non linéaire
- Vol. 6 (4) , 261-293
- https://doi.org/10.1016/s0294-1449(16)30319-5
Abstract
We generalize the thread problem for minimal surfaces to higher dimensions using the framework of integral currents. Résumé: On généralise le « problème fil » pour surfaces minimales aux dimensions plus hautes en utilisant le cadre de courants intégrais.This publication has 6 references indexed in Scilit:
- Boundary Regularity and Embedded Solutions for the Oriented Plateau ProblemAnnals of Mathematics, 1979
- The structure of stationary one dimensional varifolds with positive densityInventiones Mathematicae, 1976
- Variational problems with obstacles and a volume constraintMathematische Zeitschrift, 1973
- Die existenz einer minimalfläche mit freiem rand vorgeschriebener längeArchive for Rational Mechanics and Analysis, 1973
- On the First Variation of a VarifoldAnnals of Mathematics, 1972
- The Regularity of Minimal Surfaces on the Movable Parts of Their BoundariesIndiana University Mathematics Journal, 1971