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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive

Zap. Nauchn. Sem. POMI, 2003 Volume 302, Pages 38–51 (Mi znsl917)

This article is cited in 24 papers

Generalized condensers and the asymptotics of their capacities under degeneration of some plates

V. N. Dubinin

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

Abstract: This note presents the simplest properties of the conformal capacity of generalized condensers concentrated on domains of the Riemann sphere. The asymptotic formula for the capacity of a generalized condenser as some of its plates contract to points is derived.

UDC: 517.54

Received: 08.10.2003


 English version:
Journal of Mathematical Sciences (New York), 2005, 129:3, 3835–3842

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