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 |