Geodesic
On the conformal capacity of a spatial condenser with spherical plates
Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 76-83

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Condencers with spherical plates are considered, the radii of which depend on the parameter r. It is shown that the conformal capacity of such condencers is a multiplicatively convex function of r. As a corollary, it has been established that some special functions related to capacity have a similar property. 
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     author = {E. G. Prilepkina},
     title = {On the conformal capacity of a spatial condenser with spherical plates},
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E. G. Prilepkina. On the conformal capacity of a spatial condenser with spherical plates. Dalʹnevostočnyj matematičeskij žurnal, Tome 22 (2022) no. 1, pp. 76-83. http://geodesic.mathdoc.fr/item/DVMG_2022_22_1_a6/