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Asymptotic behavior of the capacity of a condenser as some of its plates contract to points

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Abstract

It is shown that the first two terms in the asymptotic formula for the capacity of a generalized condenser are independent of the shape of degenerating plates. An earlier formula was given only for the case in which the degenerating plates are elements of families of almost disks with fixed centers.

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Authors and Affiliations

  1. Far-Eastern Federal University, Vladivostok, Russia

    V. N. Dubinin

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

    V. N. Dubinin

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  1. V. N. Dubinin
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Correspondence to V. N. Dubinin.

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Original Russian Text © V. N. Dubinin, 2014, published in Matematicheskie Zametki, 2014, Vol. 96, No. 2, pp. 194–206.

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Dubinin, V.N. Asymptotic behavior of the capacity of a condenser as some of its plates contract to points. Math Notes 96, 187–198 (2014). https://doi.org/10.1134/S0001434614070190

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