On univalent mappings by solutions of linear elliptic partial differential equations
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- by Paul W. Berg PDF
- Trans. Amer. Math. Soc. 84 (1957), 310-318 Request permission
References
- Lipman Bers, Theory of pseudo-analytic functions, New York University, Institute for Mathematics and Mechanics, New York, 1953. MR 0057347
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- Erhard Heinz, Über die Lösungen der Minimalflächengleichung, Nachr. Akad. Wiss. Göttingen. Math.-Phys. Kl. Math.-Phys.-Chem. Abt. 1952 (1952), 51–56 (German). MR 54182 E. Hopf, Über den funktionalen, insbesondere den analytischer Character der Lösungen elliptischer Differential-gleichungen zweiter Ordnung, Math. Zeit. vol. 34 (1931) pp. 191-233.
- Hans Lewy, On the non-vanishing of the Jacobian in certain one-to-one mappings, Bull. Amer. Math. Soc. 42 (1936), no. 10, 689–692. MR 1563404, DOI 10.1090/S0002-9904-1936-06397-4
- J. Schauder, Über lineare elliptische Differentialgleichungen zweiter Ordnung, Math. Z. 38 (1934), no. 1, 257–282 (German). MR 1545448, DOI 10.1007/BF01170635
Additional Information
- © Copyright 1957 American Mathematical Society
- 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