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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
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
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
Linking options:
https://www.mathnet.ru/eng/mzm3518https://doi.org/10.4213/mzm3518 https://www.mathnet.ru/eng/mzm/v81/i1/p70
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