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Plateau’s problems and their modern ramifications. (English) Zbl 0298.53004


MSC:

53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature
49Q05 Minimal surfaces and optimization
58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
49Q15 Geometric measure and integration theory, integral and normal currents in optimization
01A55 History of mathematics in the 19th century
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