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This article is cited in 4 scientific papers (total in 4 papers)
On a Problem of Dubinin for the Capacity of a Condenser with a Finite Number of Plates
Yu. V. Dymchenkoa, V. A. Shlykb a Far Eastern Federal University, Vladivostok
b Vladivostok Branch of Russian Customs Academy
Abstract:
It is proved that, in Euclidean $n$-space, $n\ge 2$, the weighted capacity (with Muckenhoupt weight) of a condenser with a finite number of plates is equal to the weighted modulus of the corresponding configuration of finitely many families of curves. For $n=2$, in the conformal case, this equality solves a problem posed by Dubinin.
Keywords:
capacity of a condenser, Muckenhoupt weight, generalized condenser, modulus of a configuration.
Received: 16.05.2017 Revised: 19.07.2017
Citation:
Yu. V. Dymchenko, V. A. Shlyk, “On a Problem of Dubinin for the Capacity of a Condenser with a Finite Number of Plates”, Mat. Zametki, 103:6 (2018), 841–852; Math. Notes, 103:6 (2018), 901–910
Linking options:
https://www.mathnet.ru/eng/mzm11676https://doi.org/10.4213/mzm11676 https://www.mathnet.ru/eng/mzm/v103/i6/p841
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Abstract page: | 310 | Full-text PDF : | 22 | References: | 38 | First page: | 31 |
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