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On symmetric configurations in some problems on extremal decomposition

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Abstract

Some problems on extremal decomposition in families of systems of nonoverlapping domains of various types with free parameters are studied. The functionals considered contain a sum of the reduced modules of biangles. For the problems under consideration, the existence of extremal configurations with appropriate symmetry is investigated. Bibliography: 8 titles.

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Authors and Affiliations

  1. St.Petersburg Department of the Steklov Mathematical Institute, St.Petersburg, Russia

    G. V. Kuz’mina

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  1. G. V. Kuz’mina
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Correspondence to G. V. Kuz’mina.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 350, 2007, pp. 160–172.

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Kuz’mina, G.V. On symmetric configurations in some problems on extremal decomposition. J Math Sci 150, 2096–2104 (2008). https://doi.org/10.1007/s10958-008-0124-y

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  • DOI: https://doi.org/10.1007/s10958-008-0124-y

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