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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2013 Volume 418, Pages 121–135 (Mi znsl5717)

This article is cited in 2 papers

Some geometrical properties of extremal decompositions

V. O. Kuznetsov

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

Abstract: Problems on the maximum of the product of conformal radii powers for nonoverlapping simply connected domains are considered. It is proved that the bound of each domain of the extremal decomposition in certain cases is some Jordan curve.

UDC: 517.8

Received: 08.07.2013


 English version:
Journal of Mathematical Sciences (New York), 2014, 200:5, 586–594

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