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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On univalent mappings by solutions of linear elliptic partial differential equations


Author: Paul W. Berg
Journal: Trans. Amer. Math. Soc. 84 (1957), 310-318
MSC: Primary 35.0X
DOI: https://doi.org/10.1090/S0002-9947-1957-0083657-6
MathSciNet review: 0083657
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  • [1] L. Bers, Theory of pseudo-analytic functions, Lecture notes (mimeographed), New York University, 1953. MR 0057347 (15:211c)
  • [2] L. Bers, Local behaviour of solutions of general linear elliptic equations, Comm. Pure Appl. Math. vol. 8 (1955) pp. 473-496. MR 0075416 (17:743a)
  • [3] E. Heinz, Über die Lösungen der Minimalflächengleichung, Nachrichten der Akademie der Wissenschaften in Göttingen. Mathematisch-Physikalische Klasse (1952) pp. 51-56. MR 0054182 (14:885c)
  • [4] E. Hopf, Über den funktionalen, insbesondere den analytischer Character der Lösungen elliptischer Differential-gleichungen zweiter Ordnung, Math. Zeit. vol. 34 (1931) pp. 191-233.
  • [5] H. Lewy, On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math. Soc. vol. 42 (1936) pp. 689-692. MR 1563404
  • [6] J. Schauder, Über lineare elliptische Differentialgleichungen zweiter Ordnung, Math. Zeit. vol. 38 (1934) pp. 257-282. MR 1545448

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DOI: https://doi.org/10.1090/S0002-9947-1957-0083657-6
Article copyright: © Copyright 1957 American Mathematical Society

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