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Morse-Sard theorem in infinite dimensional Banach spaces and investigation of the set of all critical levels. (English) Zbl 0291.58008


MSC:

58E05 Abstract critical point theory (Morse theory, Lyusternik-Shnirel’man theory, etc.) in infinite-dimensional spaces
58C05 Real-valued functions on manifolds
34B15 Nonlinear boundary value problems for ordinary differential equations
47J05 Equations involving nonlinear operators (general)