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The Plateau Problem and the Partially Free Boundary Problem for Minimal Surfaces

  • Ulrich Dierkes
  • Stefan Hildebrandt
  • Albrecht Küster
  • Ortwin Wohlrab
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 295)

Abstract

The remainder of this book is essentially devoted to boundary value problems for minimal surfaces. The simplest of such problems was named Plateau’s problem, in honour of the Belgian physicist J.A.F. Plateau, although it had been formulated much earlier by Lagrange, Meusnier, and other mathematicians. It is the question of finding a surface of least area spanned by a given closed Jordan curve Γ.

Keywords

Minimal Surface Branch Point Jordan Curve Soap Film Plateau Problem 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1992

Authors and Affiliations

  • Ulrich Dierkes
    • 1
  • Stefan Hildebrandt
    • 1
  • Albrecht Küster
    • 1
  • Ortwin Wohlrab
    • 2
  1. 1.Mathematisches InstitutUniversität BonnBonnFederal Republic of Germany
  2. 2.BonnFederal Republic of Germany

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