Deformations of functionals and bifurcations of extremals |
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| Authors: | V. S. Klimov |
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| Affiliation: | (1) Yaroslavl State University, Russia |
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| 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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| Keywords: | Lipschitz functional multivalued functional extremal point bifurcation-point problem potential operator reflexive Banach space |
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