A supplement to the condition of J. Douglas

  • Johannes C. C. Nitsche


Convex Hull Minimal Surface Jordan Curve Isothermic Parameter Unique Positive Root 
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.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [1]
    G. A. Bliss,Calculus of Variations, Open Court Publ. Co., La Salle, 1925.MATHGoogle Scholar
  2. [2]
    R. Courant,Dirichlet's Principle, Conformal Mapping, and Minimal Surfaces, Interscience Publ., New York, 1950.MATHGoogle Scholar
  3. [3]
    J. Douglas,The problem of Plateau for two contours, J. Math. Phys.10 (1931), 315–359.Google Scholar
  4. [4]
    H. Jung,Über die kleinste Kugel, die eine räumliche Figur einschliesst, J. für Math.123 (1901), 241–257.Google Scholar
  5. [5]
    J. C. C. Nitsche,Über eine mit der Minimalflächengleichung zusammenhängende analytische Funktion und den Bernsteinschen Satz, Arch. d. Math.7 (1956), 417–419.CrossRefMathSciNetGoogle Scholar
  6. [6]
    J. C. C. Nitsche,A necessary criterion for the existence of certain minimal surfaces, J. Math. Mech.13 (1964), 659–666.MATHMathSciNetGoogle Scholar
  7. [7]
    T. Radó,On the Problem of Plateau, Ergebnisse d. Math., 2 (2), Springer, Berlin, 1933.Google Scholar

Copyright information

© Springer 1964

Authors and Affiliations

  • Johannes C. C. Nitsche
    • 1
  1. 1.MinneapolisU. S. A.

Personalised recommendations