This article is cited in 3 papers

Infinite-dimensional version of Morse theory for Lipschitz functionals

V. S. Klimov

P. G. Demidov Yaroslavl State University

Abstract: The type numbers of critical points of Lipschitz functionals defined on finite-defect submanifolds of a separable reflexive space are studied. Variants of the Morse inequalities are established. It is shown that the topological index of an isolated critical point is equal to the alternated sum of its type numbers.

UDC: 517.946

MSC: Primary 58E05; Secondary 57R45, 58B05, 58K45, 58K65

Received: 20.04.2001

DOI: 10.4213/sm662

 English version: Sbornik: Mathematics, 2002, 193:6, 889–906

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