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Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2011, Number 2, Pages 106–109 (Mi ivm7238)  
This article is cited in 3 scientific papers (total in 3 papers)

Brief communications

Stability of n-dimensional extremal surfaces of revolution

N. M. Poluboyarova

Chair of Computer Science and Experimental Mathematics, Volgograd State University, Volgograd, Russia
Full-text PDF (142 kB) Citations (3)
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Abstract: In this paper we consider extremal surfaces of revolution of area-type functionals. For the latter we calculate the first and second variations. We prove stability and instability criteria for n-dimensional surfaces of revolution, based on their definition and in terms of special integrals.
Keywords: area-type functional, functional variation, extremal surface, stable (unstable) extremal surface.
Presented by the member of Editorial Board: V. M. Miklyukov
Received: 25.09.2010
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2011, Volume 55, Issue 2, Pages 93–95
DOI: https://doi.org/10.3103/S1066369X11020113
Bibliographic databases:
Document Type: Article
UDC: 517.972+514.772
Language: Russian
Citation: N. M. Poluboyarova, “Stability of n-dimensional extremal surfaces of revolution”, Izv. Vyssh. Uchebn. Zaved. Mat., 2011, no. 2, 106–109; Russian Math. (Iz. VUZ), 55:2 (2011), 93–95
Citation in format AMSBIB
\Bibitem{Pol11}
\by N.~M.~Poluboyarova
\paper Stability of $n$-dimensional extremal surfaces of revolution
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2011
\issue 2
\pages 106--109
\mathnet{http://mi.mathnet.ru/ivm7238}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2768728}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2011
\vol 55
\issue 2
\pages 93--95
\crossref{https://doi.org/10.3103/S1066369X11020113}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79953011725}
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  • https://www.mathnet.ru/eng/ivm7238
  • https://www.mathnet.ru/eng/ivm/y2011/i2/p106
    • This publication is cited in the following 3 articles:
    1. N. M. Poluboyarova, “Uravneniya ekstremalei funktsionala potentsialnoi energii”, Vestn. Volgogr. gos. un-ta. Ser. 1, Mat. Fiz., 2016, no. 5(36), 60–72  mathnet  crossref
    2. Poluboyarova N.M., “Priznaki ustoichivosti i neustoichivosti ekstremalnykh poverkhnostei vrascheniya”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 2011, no. 1, 60–75  elib
    3. Poluboyarova N.M., “Nekotorye otsenki G-emkosti ekstremalnykh poverkhnostei i sledstviya iz nikh”, Vestnik Volgogradskogo gosudarstvennogo universiteta. Seriya 1: Matematika. Fizika, 2011, no. 2, 63–74  mathscinet  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
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