This article is cited in 1 paper

Type Numbers of Critical Points for Nonsmooth Functionals

V. S. Klimov

P. G. Demidov Yaroslavl State University

Abstract: Type numbers of critical points for Lipschitz functionals are studied. Versions 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. Formulas for calculating the type numbers of the zero critical point of one functional are given.

UDC: 517.946

Received: 10.07.2000

DOI: 10.4213/mzm458

 English version: Mathematical Notes, 2002, 72:5, 641–651

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