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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2015, Volume 12, Pages 679–687
DOI: https://doi.org/10.17377/semi.2015.12.053 (Mi semr616) 		 
This article is cited in 8 scientific papers (total in 8 papers)

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Three synthetical plots of analysis and geometry

S. S. Kutateladze

Sobolev Institute of Mathematics, 4 Koptyug Av., 630090, Novosibirsk, Russia
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DOI: https://doi.org/10.17377/semi.2015.12.053
Abstract: This is a short overview of the synthetical problems of analysis and geometry which are connected with multiple objective problems of convex geometry, the theory of linear inequalities, and Boolean valued analysis. Some attention is paid to the related historical-philosophical aspects of the problems that were inspired by A. D. Alexandrov, L. V. Kantorovich, and S. L. Sobolev.
Keywords: multiple objective isoperimetric-type problem, Urysohn problem, Leidenfrost effect, Farkas lemma, polyhedral Lagrange principle.
Received September 22, 2015, published September 24, 2015
Document Type: Article
UDC: 514.74, 519.85
MSC: 01A80
Language: Russian
Citation: S. S. Kutateladze, “Three synthetical plots of analysis and geometry”, Sib. Èlektron. Mat. Izv., 12 (2015), 679–687
Citation in format AMSBIB
\Bibitem{Kut15}
\by S.~S.~Kutateladze
\paper Three synthetical plots of analysis and geometry
\jour Sib. \`Elektron. Mat. Izv.
\yr 2015
\vol 12
\pages 679--687
\mathnet{http://mi.mathnet.ru/semr616}
\crossref{https://doi.org/10.17377/semi.2015.12.053}
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