Infinite-dimensional version of Morse theory for Lipschitz functionals
Vladimir Stepanovich Klimov · Sbornik Mathematics · 2002
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.