Deformations of Functionals and Bifurcations of Extremals
Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 70-82

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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.
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     author = {V. S. Klimov},
     title = {Deformations of {Functionals} and {Bifurcations} of {Extremals}},
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V. S. Klimov. Deformations of Functionals and Bifurcations of Extremals. Matematičeskie zametki, Tome 81 (2007) no. 1, pp. 70-82. http://geodesic.mathdoc.fr/item/MZM_2007_81_1_a5/