This article is cited in 2 papers

On the condensers with variable plates, potential levels and domain of definition

V. N. Dubinin^a, V. Yu. Kim<sup>b

a</sup> Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
^b Far Eastern Federal University, Vladivostok

Abstract: The asymptotic formula is obtained for the capacity of a generalized condenser when parts of its plates contract to prescribed points. We consider condenser with variable potential levels and a set of definition that tends to a predetermined domain.

Key words: asymptotic formula, conformal capacity, condenser, Green’s function.

UDC: 517.54

MSC: Primary 30C75; Secondary 30C85

Received: 18.04.2022

DOI: 10.47910/FEMJ202205

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