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Dal'nevostochnyi Matematicheskii Zhurnal, 2022, Volume 22, Number 1, Pages 76–83
DOI: https://doi.org/10.47910/FEMJ202207 (Mi dvmg470) 		 
On the conformal capacity of a spatial condenser with spherical plates

E. G. Prilepkina

Institute for Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok
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DOI: https://doi.org/10.47910/FEMJ202207
Abstract: 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.
Key words: conformal capacity, modulii of curve families, reduced modulus, quasiregular mappings.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
The study was carried out within the framework of NIOKTR No. AAAAA 20-120112690042-0 with the financial support of the Russian Foundation for Basic Research (project No. 20-01-00018).
Received: 12.05.2022
Bibliographic databases:
Document Type: Article
UDC: 517.54
MSC: 31B99
Language: Russian
Citation: E. G. Prilepkina, “On the conformal capacity of a spatial condenser with spherical plates”, Dal'nevost. Mat. Zh., 22:1 (2022), 76–83
Citation in format AMSBIB
\Bibitem{Pri22}
\by E.~G.~Prilepkina
\paper On the conformal capacity of a spatial condenser with spherical plates
\jour Dal'nevost. Mat. Zh.
\yr 2022
\vol 22
\issue 1
\pages 76--83
\mathnet{http://mi.mathnet.ru/dvmg470}
\crossref{https://doi.org/10.47910/FEMJ202207}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4448030}
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