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Matematicheskie Zametki, 2002, Volume 72, Issue 5, Pages 693–705
DOI: https://doi.org/10.4213/mzm458 (Mi mzm458) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Type Numbers of Critical Points for Nonsmooth Functionals

V. S. Klimov

P. G. Demidov Yaroslavl State University
Full-text PDF (241 kB) Citations (1)
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DOI: https://doi.org/10.4213/mzm458
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.
Received: 10.07.2000
English version:
Mathematical Notes, 2002, Volume 72, Issue 5, Pages 641–651
DOI: https://doi.org/10.1023/A:1021404921840
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. S. Klimov, “Type Numbers of Critical Points for Nonsmooth Functionals”, Mat. Zametki, 72:5 (2002), 693–705; Math. Notes, 72:5 (2002), 641–651
Citation in format AMSBIB
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  • https://www.mathnet.ru/eng/mzm458
  • https://doi.org/10.4213/mzm458
  • https://www.mathnet.ru/eng/mzm/v72/i5/p693
    • This publication is cited in the following 1 articles:
    1. V. S. Klimov, “Deformations of Functionals and Bifurcations of Extremals”, Math. Notes, 81:1 (2007), 61–71  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:57
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