Free Boundaries in Geometric Measure Theory and Applications

  • Michael Grüter


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.


Free Boundary Minimal Surface Convex Body Regularity Result Topological Type 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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  1. M. Grüter, Regularität von minimierenden Strömen bei einer freien Randbedingung, Habilitationsschrift, Düsseldorf (1985).Google Scholar
  2. M. Grüter, Regularity Results For Minimizing Currents With A Free Boundary, Preprint (1985).Google Scholar
  3. M. Grüter, Optimal Regularity For Codimension One Minimal Surfaces With A Free Boundary, Preprint (1985).Google Scholar
  4. M. Grüter and J. Jost, Allard Type Regularity Results For Varifolds With Free Boundaries, Ann. d. Sc. Norm. Sup. di Pisa (to appear).Google Scholar
  5. M. Grüter and J. Jost, On Embedded Minimal Disks in Convex Bodies, Analyse Non Linéaire (to appear).Google Scholar
  6. J. Jost, Existence Results For Embedded Minimal Surfaces Of Controlled Topological Type I, II, Preprints 691, 726, SFB 72, Bonn (1984, 1985).Google Scholar

Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • Michael Grüter

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