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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2013 Volume 418, Pages 74–89 (Mi znsl5714)

This article is cited in 2 papers

The relation between capacity of condenser and module of the separated surfaces in Finsler spaces

Yu. V. Dymchenko

Institute of Applied Mathematics, Far-Eastern Branch of the Russian Academy of Sciences, Vladivostok, Russia

Abstract: In this paper, the existence and uniqueness of extremal functions for capacity of condenser and module of the family of curves in Finsler spaces has been proved. Also it is proved the relation between capacity of condenser and module of the separating surfaces in Finsler spaces.

Key words and phrases: condencer capacity, module of curve family, family of separating surfaces, Finsler space.

UDC: 517.54

Received: 20.06.2013


 English version:
Journal of Mathematical Sciences (New York), 2014, 200:5, 559–567

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