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This article is cited in 10 scientific papers (total in 10 papers)
Branching extremals of the functional of $\lambda$-normed length
D. P. Il'yutko M. V. Lomonosov Moscow State University
Abstract:
Networks on $\lambda$-normed planes are considered, that is, on
normed planes for which the unit circle is a regular $2\lambda$-gon.
A geometric criterion is given for an arbitrary tree to be extremal
on the $\lambda$-normed plane, where $\lambda\ne2,3,4,6$. Problems of
$\lambda$-minimal (extremal) realization of an arbitrary network
and of convergence of $\lambda$-extremal networks as
$\lambda\to\infty$ are also considered.
Bibliography: 17 titles.
Received: 22.03.2005
Citation:
D. P. Il'yutko, “Branching extremals of the functional of $\lambda$-normed length”, Mat. Sb., 197:5 (2006), 75–98; Sb. Math., 197:5 (2006), 705–726
Linking options:
https://www.mathnet.ru/eng/sm1559https://doi.org/10.1070/SM2006v197n05ABEH003775 https://www.mathnet.ru/eng/sm/v197/i5/p75
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Abstract page: | 469 | Russian version PDF: | 206 | English version PDF: | 7 | References: | 80 | First page: | 2 |
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