Abstract
The most famous problem in the theory of minimal surfaces is the so called Plateau problem, where one is looking for a minimal surface spanning a given boundary. This is a problem with a fixed boundary and was essentially solved around 1930 by Douglas and Radó.
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References
M. Grüter, Regularität von minimierenden Strömen bei einer freien Randbedingung, Habilitationsschrift, Düsseldorf (1985).
M. Grüter, Regularity Results For Minimizing Currents With A Free Boundary, Preprint (1985).
M. Grüter, Optimal Regularity For Codimension One Minimal Surfaces With A Free Boundary, Preprint (1985).
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M. Grüter and J. Jost, On Embedded Minimal Disks in Convex Bodies, Analyse Non Linéaire (to appear).
J. Jost, Existence Results For Embedded Minimal Surfaces Of Controlled Topological Type I, II, Preprints 691, 726, SFB 72, Bonn (1984, 1985).
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© 1987 Springer-Verlag New York Inc.
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Grüter, M. (1987). Free Boundaries in Geometric Measure Theory and Applications. In: Concus, P., Finn, R. (eds) Variational Methods for Free Surface Interfaces. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-4656-5_8
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DOI: https://doi.org/10.1007/978-1-4612-4656-5_8
Publisher Name: Springer, New York, NY
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