Doubly-connected minimal surfaces
Author:
Paul M. Bailyn
Journal:
Trans. Amer. Math. Soc. 128 (1967), 206-220
MSC:
Primary 53.04; Secondary 49.00
DOI:
https://doi.org/10.1090/S0002-9947-1967-0211333-1
MathSciNet review:
0211333
Full-text PDF Free Access
References | Similar Articles | Additional Information
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G. A. Bliss, Calculus of variations, Open Court, Chicago, Ill., 1925.
- R. Courant, Dirichlet’s Principle, Conformal Mapping, and Minimal Surfaces, Interscience Publishers, Inc., New York, N.Y., 1950. Appendix by M. Schiffer. MR 0036317
- Jesse Douglas, Solution of the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), no. 1, 263–321. MR 1501590, DOI https://doi.org/10.1090/S0002-9947-1931-1501590-9 ---, The problem of Plateau for two contours, J. Math. Phys. 10 (1931), 315-359. ---, Some new results in the problem of Plateau, J. Math. Phys. 14 (1936), 55-64.
- Johannes C. C. Nitsche, A necessary criterion for the existence of certain minimal surfaces, J. Math. Mech. 13 (1964), 659–666. MR 0162191
- Johannes C. C. Nitsche, A supplement to the condition of J. Douglas, Rend. Circ. Mat. Palermo (2) 13 (1964), 192–198. MR 178409, DOI https://doi.org/10.1007/BF02849527
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Article copyright:
© Copyright 1967
American Mathematical Society
