The existence of surfaces of constant mean curvature with arbitrary Jordan cuves as assigned boundary
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- by Helmut Werner
- Proc. Amer. Math. Soc. 11 (1960), 63-70
- DOI: https://doi.org/10.1090/S0002-9939-1960-0121722-0
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References
- R. Courant, Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces, Interscience Publishers, Inc., New York, N.Y., 1950. Appendix by M. Schiffer. MR 0036317 R. Courant and D. Hilbert, Methoden der mathematischen Physik, vol. 2, Berlin, Springer-Verlag, 1937.
- Jesse Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), no. 1, 263–321. MR 1501590, DOI 10.1090/S0002-9947-1931-1501590-9
- Erhard Heinz, Über die Existenz einer Fläche konstanter mittlerer Krümmung bei vorgegebener Berandung, Math. Ann. 127 (1954), 258–287 (German). MR 70013, DOI 10.1007/BF01361126
- Erhard Heinz, On the existence problem for surfaces of constant mean curvature, Comm. Pure Appl. Math. 9 (1956), 467–470. MR 81507, DOI 10.1002/cpa.3160090317
- Helmut Werner, Das Problem von Douglas für Flächen konstanter mittlerer Krümmung, Math. Ann. 133 (1957), 303–319 (German). MR 95335, DOI 10.1007/BF01342884 A. Wintner, Spektraltheorie der unendlichen Matrizen, Leipzig, 1929.
Bibliographic Information
- © Copyright 1960 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 11 (1960), 63-70
- MSC: Primary 53.00
- DOI: https://doi.org/10.1090/S0002-9939-1960-0121722-0
- MathSciNet review: 0121722