The cusp catastrophe of thom in the bifurcation of minimal surfaces
作者： M. J. Beeson , A. J. Tromba
DOI: 10.1007/BF01185204
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sci-hub.se 参考文章(13)
Johannes C. C. Nitsche, Vorlesungen über Minimalflächen Springer-Verlag. ,(1975) , 10.1007/978-3-642-65619-4
I. Stewart, T. Poston, R. H. Plaut, Catastrophe theory and its applications ,(1978)
Jesse Douglas, Solution of the problem of Plateau Transactions of the American Mathematical Society. ,vol. 33, pp. 263- 321 ,(1931) , 10.1090/S0002-9947-1931-1501590-9
A. J. Tromba, On the number of simply connected minimal surfaces spanning a curve Memoirs of the American Mathematical Society. ,vol. 12, pp. 0- 0 ,(1977) , 10.1090/MEMO/0194
Friedrich Tomi, On the local uniqueness of the problem of least area Archive for Rational Mechanics and Analysis. ,vol. 52, pp. 312- 318 ,(1973) , 10.1007/BF00247465
Detlef Gromoll, Wolfgang Meyer, On differentiable functions with isolated critical points Topology. ,vol. 8, pp. 361- 369 ,(1969) , 10.1016/0040-9383(69)90022-6
Johannes C. C. Nitsche, Contours bounding at least three solutions of Plateau's problem Archive for Rational Mechanics and Analysis. ,vol. 30, pp. 1- 11 ,(1968) , 10.1007/BF00253243
A. J. Tromba, A sufficient condition for a critical point of a functional to be a minimum and its application to Plateau's problem Mathematische Annalen. ,vol. 263, pp. 303- 312 ,(1983) , 10.1007/BF01457133
Tibor Rado, On the Problem of Plateau ,(2014)
R. Kühnau, Nitsche, J. C. C., Vorlesungen über Minimalflächen, Berlin-Heidelberg-New York. Springer-Verlag. 1975. XIII, 775 S., 86 Abb., DM 196,-. US $ 84.30. (Die Grundlehren der Mathematischen Wissenschaften Bd. 199) . ZAMM - Zeitschrift für Angewandte Mathematik und Mechanik. ,vol. 57, pp. 561- 562 ,(1977) , 10.1002/ZAMM.19770570919