• Ulrich DierkesEmail author
  • Stefan Hildebrandt
  • Friedrich Sauvigny
Part of the Grundlehren der mathematischen Wissenschaften book series (GL, volume 339)


Here we formulate some major open problems for minimal surfaces, mostly in the context of Plateau’s or Douglas’s problem. Many of them are unsolved since a long time, see e.g. J.C.C. Nitsche (Vorlesungen über Minimalflächen, Springer, Berlin, 1975; Lectures on minimal surfaces, vol. 1, Cambridge Univ. Press, Cambridge, 1989).


Nitsche, J.C.C.

  1. 28.
    Vorlesungen über Minimalflächen. Grundlehren Math. Wiss. 199. Springer, Berlin, 1975 Google Scholar
  2. 37.
    Lectures on minimal surfaces, vol. 1: Introduction, fundamentals, geometry and basic boundary problems. Cambridge University Press, Cambridge, 1989 Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2010

Authors and Affiliations

  • Ulrich Dierkes
    • 1
    Email author
  • Stefan Hildebrandt
    • 2
  • Friedrich Sauvigny
    • 3
  1. 1.Faculty of MathematicsUniversity of Duisburg-Essen, Campus DuisburgDuisburgGermany
  2. 2.Mathematical InstituteUniversity of BonnBonnGermany
  3. 3.Mathematical InstituteBrandenburgian Technical UniversityCottbusGermany

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