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.
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Original Russian Text © V. S. Klimov, 2007, published in Matematicheskie Zametki, 2007, Vol. 81, No. 1, pp. 70–82.
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Klimov, V.S. Deformations of functionals and bifurcations of extremals. Math Notes 81, 61–71 (2007). https://doi.org/10.1134/S0001434607010063
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DOI: https://doi.org/10.1134/S0001434607010063