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Izvestiya: Mathematics, 1998, Volume 62, Issue 5, Pages 969–984
DOI: https://doi.org/10.1070/im1998v062n05ABEH000212 (Mi im212) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Topological characteristics of non-smooth functionals

V. S. Klimov

Orel State University
English version PDF (219 kB) Citations (16) Russian version article
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DOI: https://doi.org/10.1070/im1998v062n05ABEH000212
Abstract: We establish infinite-dimensional variants of the Poincare–Hopf theorem for many-valued vector fields generated by operators of monotonic type. We suggest conditions for the stabilization of the homology groups of closed subsets of a Banach space when approximated by finite-dimensional sections. Emphasis is given to the study of topological characteristics of Lebesgue sets of Lipschitz functionals defined on a closed convex subset of a reflexive space.
Received: 03.12.1996
Bibliographic databases:
MSC: 58C30, 55M20, 58E05
Language: English
Original paper language: Russian
Citation: V. S. Klimov, “Topological characteristics of non-smooth functionals”, Izv. Math., 62:5 (1998), 969–984
Citation in format AMSBIB
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\by V.~S.~Klimov
\paper Topological characteristics of non-smooth functionals
\jour Izv. Math.
\yr 1998
\vol 62
\issue 5
\pages 969--984
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    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
     
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