This article is cited 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.

UDC: 517.946

Received: 17.08.2005

DOI: 10.4213/mzm3518

 English version: Mathematical Notes, 2007, 81:1, 61–71

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