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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 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. DOI: https://doi.org/10.4213/mzm523   Full text:
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English version: Mathematical Notes, 2001, 69:4, Bibliographic databases:    
UDC: 517 Received: 15.09.1999 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), 
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