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Some Geometric Properties of Extremal Decompositions

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Problems on the maximum of a product of powers of the conformal radii of nonoverlapping simply connected domains are considered, and geometric properties of the extremal systems of domains for these problems are established. It is proved that in some cases, the boundary of every domain of the extremal decomposition is a Jordan curve.

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Authors and Affiliations

  1. State University of Maritime and Inland Shipping, n.a. Admiral Makarov, St.-Petersburg, Russia

    V. O. Kuznetsov

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  1. V. O. Kuznetsov
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Correspondence to V. O. Kuznetsov.

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Translated from Zapiski Nauchnykh Seminarov POMI, Vol. 418, 2013, pp. 121–135.

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Kuznetsov, V.O. Some Geometric Properties of Extremal Decompositions. J Math Sci 200, 586–594 (2014). https://doi.org/10.1007/s10958-014-1947-3

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  • DOI: https://doi.org/10.1007/s10958-014-1947-3

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