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Sbornik: Mathematics, 2001, Volume 192, Issue 1, Pages 49–64
DOI: https://doi.org/10.1070/sm2001v192n01ABEH000535 (Mi sm535) 		 
This article is cited in 6 scientific papers (total in 6 papers)

Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals

V. S. Klimov

P. G. Demidov Yaroslavl State University
English version PDF (528 kB) Citations (6)
References:
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DOI: https://doi.org/10.1070/sm2001v192n01ABEH000535
Abstract: A version of the Poincare–Hopf theorem is established for multivalued vector fields on submanifolds of a reflexive space. The connection between the critical values and homological characteristics of the Lebesgue sets of Lipschitz functionals is studied. Applications to the theory of operator inclusions with parameters are indicated.
Received: 08.12.1999
Russian version:
Matematicheskii Sbornik, 2001, Volume 192, Number 1, Pages 51–66
DOI: https://doi.org/10.4213/sm535
Bibliographic databases:
UDC: 517.946
MSC: Primary 58B05, 57R25; Secondary 47J25
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “Infinite-dimensional version of the Poincare–Hopf theorem and homological characteristics of functionals”, Mat. Sb., 192:1 (2001), 51–66; Sb. Math., 192:1 (2001), 49–64
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математический сборник - 1992–2005 Sbornik: Mathematics
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    Russian version PDF:223
    English version PDF:9
    References:59
    First page:1
     
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