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JOURNALS // Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika // Archive

Izv. Vyssh. Uchebn. Zaved. Mat., 2010 Number 8, Pages 3–15 (Mi ivm7113)

This article is cited in 2 papers

Convex expansion of condenser plates

V. V. Aseev

Laboratory of Theory of Functions, Institute of Mathematics, Siberian Branch of Russian Academy of Sciences, Novosibirsk, Russia

Abstract: In this paper we consider the Möbius invariant operation of convex expansion of condenser plates in the space $\overline R^n$. In the case $n=2$ we prove that this operation cannot increase the capacity of a condenser with connected plates more than 3 times.

Keywords: condenser, conformal capacity, convexity, Möbius transformation, Möbius invariance, modulus of a curve family, condenser loading.

UDC: 517.54

Received: 06.10.2008


 English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2010, 54:8, 1–11

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