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Matematicheskie Zametki, 2007, Volume 81, Issue 1, Pages 70–82
DOI: https://doi.org/10.4213/mzm3518 (Mi mzm3518) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Deformations of Functionals and Bifurcations of Extremals

V. S. Klimov

P. G. Demidov Yaroslavl State University
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DOI: https://doi.org/10.4213/mzm3518
Abstract: We study homology characteristics of critical values and extremals of Lipschitz functionals defined on bounded closed convex subsets of a reflexive space that are invariant under deformations. Sufficient conditions for the existence of a bifurcation point of a multivalued potential operator (the switch principle for the typical number of an extremal) are established.
Keywords: Lipschitz functional, multivalued functional, extremal point.
Received: 17.08.2005
English version:
Mathematical Notes, 2007, Volume 81, Issue 1, Pages 61–71
DOI: https://doi.org/10.1134/S0001434607010063
Bibliographic databases:
UDC: 517.946
Language: Russian
Citation: V. S. Klimov, “Deformations of Functionals and Bifurcations of Extremals”, Mat. Zametki, 81:1 (2007), 70–82; Math. Notes, 81:1 (2007), 61–71
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Математические заметки Mathematical Notes
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