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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 6, Pages 44–54 (Mi ivm7503)  

This article is cited in 2 scientific papers (total in 2 papers)

Relative rotation and variational inequalities

V. S. Klimov, N. A. Demyankov

Chair of Mathematical Analysis, Yaroslavl State University, Yaroslavl, Russia
Full-text PDF (220 kB) Citations (2)
References:
Abstract: We introduce the notion of relative rotation of a multivalued vector field generated by a monotone-type operator. We obtain lower bounds for the number of solutions of variational inequalities. We establish conditions of topological nature that guarantee the strong convergence of the Galerkin method and the penalty one.
Keywords: relative rotation, variational inequality, multivalued mapping, vector field, strong convergence.
Received: 06.02.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 6, Pages 37–45
DOI: https://doi.org/10.3103/S1066369X11060065
Bibliographic databases:
Document Type: Article
UDC: 519.6
Language: Russian
Citation: V. S. Klimov, N. A. Demyankov, “Relative rotation and variational inequalities”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 6, 44–54; Russian Math. (Iz. VUZ), 55:6 (2011), 37–45
Citation in format AMSBIB
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\by V.~S.~Klimov, N.~A.~Demyankov
\paper Relative rotation and variational inequalities
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 6
\pages 44--54
\mathnet{http://mi.mathnet.ru/ivm7503}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2931704}
\elib{https://elibrary.ru/item.asp?id=15705528}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 6
\pages 37--45
\crossref{https://doi.org/10.3103/S1066369X11060065}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80051661250}
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  • https://www.mathnet.ru/eng/ivm/y2011/i6/p44
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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    Abstract page:400
    Full-text PDF :97
    References:96
    First page:8
     
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