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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2013, Number 1, Pages 21–30 (Mi ivm8764)  
A relative variant of the Morse theory

V. S. Klimov

Chair of Mathematical Analysis, Yaroslavl State University, Yaroslavl, Russia
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Abstract: We develop a relative variant of the Morse theory for Lipschitz functionals defined on closed subsets of a Banach manifold. We prove the invariance of topological characteristics of functionals under uniform deformations.
Keywords: nonsmooth analysis, functional, space, manifold, critical value.
Received: 13.12.2011
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2013, Volume 57, Issue 1, Pages 17–25
DOI: https://doi.org/10.3103/S1066369X13010027
Bibliographic databases:
Document Type: Article
UDC: 517.946
Language: Russian
Citation: V. S. Klimov, “A relative variant of the Morse theory”, Izv. Vyssh. Uchebn. Zaved. Mat., 2013, no. 1, 21–30; Russian Math. (Iz. VUZ), 57:1 (2013), 17–25
Citation in format AMSBIB
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\by V.~S.~Klimov
\paper A relative variant of the Morse theory
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2013
\issue 1
\pages 21--30
\mathnet{http://mi.mathnet.ru/ivm8764}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2013
\vol 57
\issue 1
\pages 17--25
\crossref{https://doi.org/10.3103/S1066369X13010027}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84872378594}
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