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On the number of solutions to Plateau's problem
Author(s):
A. J.
Tromba
Journal:
Bull. Amer. Math. Soc.
82
(1976),
66-68.
MSC (1970):
Primary 35G20, 49F10, 58E15;
Secondary 57D25
MathSciNet review:
0418155
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References |
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Additional information
References:
- 1.
- J. Douglas, Solution to the problem of Plateau, Trans. Amer. Math. Soc. 33 (1931), 263-321. MR 1501590
- 2.
- R. Courant, Dirichlet's principle, conformal mapping, and minimal surfaces, Interscience, New York, 1950. MR 12, 90. MR 36317
- 3.
- K. D. Elworthy and A. J. Tromba, Differentiable structures and Fredholm maps on Banach manifolds, Proc. Sympos. Pure Math., vol. 15, Amer. Math. Soc., Providence, R, I., 1970, pp. 45-94. MR 41 #9299. MR 264708
- 4.
- T. Rádo, On the problem of Plateau, Ergebnisse der Mathematik und Ihrer Grenzgebiete, Springer-Verlag, Berlin, 1933. MR 344979
- 5.
- T. Rádo, The problem of least area and the problem of Plateau, Math. Z. 32 (1930), 763-796. MR 1545197
- 6.
- A. Tromba, Fredholm vector fields and a transversality theorem, J. Functional Analysis (to appear). MR 438385
- 7.
- R. Bohme, Die Zusammenhangskomponenten der Lösungen analytischer Plateauprobleme, Math. 133 (1973), 31-40. MR 49 #11363. MR 346638
- 8.
- R. Bohme and F. Tomi, Zur Struktur der Lösungsmenge des Plateauproblems, Math. Z. 133 (1973), 1-29. MR 49 #11362. MR 346637
- 9.
- F. Tomi, On the local uniqueness of the problem of least area, Arch. Rational Mech. Anal. 52 (1973), 312-318. MR 49 #11364. MR 346639
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Additional Information:
DOI:
10.1090/S0002-9904-1976-13958-4
PII:
S 0002-9904(1976)13958-4
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