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The Morse-Sard-Brown theorem for functionals and the problem of Plateau. (English) Zbl 0373.58003


MSC:

58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
49Q05 Minimal surfaces and optimization
58E10 Variational problems in applications to the theory of geodesics (problems in one independent variable)
58E15 Variational problems concerning extremal problems in several variables; Yang-Mills functionals
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