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Sbornik: Mathematics, 2002, Volume 193, Issue 6, Pages 889–906
DOI: https://doi.org/10.1070/SM2002v193n06ABEH000662 (Mi sm662) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Infinite-dimensional version of Morse theory for Lipschitz functionals

V. S. Klimov

P. G. Demidov Yaroslavl State University
English version PDF (261 kB) Citations (3) Russian version article
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DOI: https://doi.org/10.1070/SM2002v193n06ABEH000662
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.
Received: 20.04.2001
Bibliographic databases:
UDC: 517.946
MSC: Primary 58E05; Secondary 57R45, 58B05, 58K45, 58K65
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “Infinite-dimensional version of Morse theory for Lipschitz functionals”, Sb. Math., 193:6 (2002), 889–906
Citation in format AMSBIB
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\paper Infinite-dimensional version of Morse theory for Lipschitz functionals
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\yr 2002
\vol 193
\issue 6
\pages 889--906
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    Russian version PDF:230
    English version PDF:27
    References:75
    First page:1
     
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