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Matematicheskie Zametki, 2001, Volume 69, Issue 4, Pages 566–580
DOI: https://doi.org/10.4213/mzm523
(Mi mzm523)
 

This article is cited in 2 scientific papers (total in 2 papers)

Nontrivial Critical Networks. Singularities of Lagrangians and a Criterion for Criticality

A. O. Ivanova, A. A. Tuzhilina, Lê Hông Vânb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b M. V. Lomonosov Moscow State University
Full-text PDF (256 kB) Citations (2)
References:
Abstract: We single out the class of so-called quasiregular Lagrangians, which have singularities on the zero section of the cotangent bundle to the manifold on which extremal networks are considered. A criterion for a network to be extremal is proved for such Lagrangians: the Euler–Lagrange equations must be satisfied on each edge, and some matching conditions must be valid at the vertices.
Received: 15.09.1999
English version:
Mathematical Notes, 2001, Volume 69, Issue 4, Pages 514–526
DOI: https://doi.org/10.1023/A:1010260230867
Bibliographic databases:
UDC: 517
Language: Russian
Citation: A. O. Ivanov, A. A. Tuzhilin, Lê Hông Vân, “Nontrivial Critical Networks. Singularities of Lagrangians and a Criterion for Criticality”, Mat. Zametki, 69:4 (2001), 566–580; Math. Notes, 69:4 (2001), 514–526
Citation in format AMSBIB
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\transl
\jour Math. Notes
\yr 2001
\vol 69
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  • https://www.mathnet.ru/eng/mzm523
  • https://doi.org/10.4213/mzm523
  • https://www.mathnet.ru/eng/mzm/v69/i4/p566
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Математические заметки Mathematical Notes
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    Abstract page:579
    Full-text PDF :241
    References:69
    First page:1
     
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