Geodesic
On a Problem of Dubinin for the Capacity of a Condenser with a Finite Number of Plates
Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 841-852

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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
Mots-clés : modulus of a configuration. 
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     author = {Yu. V. Dymchenko and V. A. Shlyk},
     title = {On a {Problem} of {Dubinin} for the {Capacity} of a {Condenser} with a {Finite} {Number} of {Plates}},
     journal = {Matemati\v{c}eskie zametki},
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Yu. V. Dymchenko; V. A. Shlyk. On a Problem of Dubinin for the Capacity of a Condenser with a Finite Number of Plates. Matematičeskie zametki, Tome 103 (2018) no. 6, pp. 841-852. http://geodesic.mathdoc.fr/item/MZM_2018_103_6_a3/