On the constant of E. Heinz

  • Johannes C. C. Nitsche


Differential Equation Harmonic Mapping Unit Disc Quantitative Result Naval Research 
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  1. [1]
    C. Carathéodory,Funktionentheorie, Vol. II, Basel, 1950.Google Scholar
  2. [2]
    E. Heinz,Über die Lösungen der Minimalflächengleichung, Nachr. Akad. Wiss. Göttingen, Math.-Phys. Kl. (1952) pp. 51–56.Google Scholar
  3. [3]
    K. Jörgens,Harmonische Abbildungen und die Differentialgleichung rt−s 2=1, Math. Ann.129, 330–344 (1955).MATHCrossRefMathSciNetGoogle Scholar
  4. [4]
    H. Lewy,On the nonvanishing of the Jacobian in certain one-to-one mapping, Bull. Amer. Math. Soc.42, 689–692 (1936).MATHCrossRefGoogle Scholar
  5. [5]
    H. Lewy,A priori limitations for solutions of Monge-Ampère equations II, Trans. Amer. Math. Soc.41, 365–374 (1937).MATHCrossRefMathSciNetGoogle Scholar
  6. [6]
    J. C. C. Nitsche,On harmonic mappings, Proc. Amer. Math. Soc.9, 268–271 (1958).MATHCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer 1959

Authors and Affiliations

  • Johannes C. C. Nitsche
    • 1
  1. 1.Minneapolis

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