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Mathematics of the USSR-Sbornik, 1993, Volume 74, Issue 1, Pages 131–144
DOI: https://doi.org/10.1070/SM1993v074n01ABEH003340 (Mi sm1379) 		 
This article is cited in 15 scientific papers (total in 15 papers)

On the relative rotation of multivalued potential vector fields

V. S. Klimov, N. V. Senchakova

P. G. Demidov Yaroslavl State University
English version PDF (822 kB) Citations (15) Russian version article
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DOI: https://doi.org/10.1070/SM1993v074n01ABEH003340
Abstract: Conditions are presented under which the relative index of a critical set realizing a local minimum of a nonsmooth functional coincides with the Euler–Poincaré characteristic of this set. An analogous result is obtained for the index of a functional increasing at $\infty$.
Received: 16.05.1990
Bibliographic databases:
UDC: 517.91
MSC: Primary 49J52, 58C20; Secondary 73K15, 57R25
Language: English
Original paper language: Russian
Citation: V. S. Klimov, N. V. Senchakova, “On the relative rotation of multivalued potential vector fields”, Math. USSR-Sb., 74:1 (1993), 131–144
Citation in format AMSBIB
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\by V.~S.~Klimov, N.~V.~Senchakova
\paper On the relative rotation of multivalued potential vector fields
\jour Math. USSR-Sb.
\yr 1993
\vol 74
\issue 1
\pages 131--144
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\crossref{https://doi.org/10.1070/SM1993v074n01ABEH003340}
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\zmath{https://zbmath.org/?q=an:0774.47038|0754.47042}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?1993SbMat..74..131K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993KQ22500011}
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник - 1991 Sbornik: Mathematics
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    Abstract page:400
    Russian version PDF:112
    English version PDF:24
    References:71
    First page:1
     
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