On the conformal capacity of a spatial condenser with spherical plates

E. G. Prilepkina · Dal nevostochnyi Matematicheskii Zhurnal · 2022

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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