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 Tr. Mat. Inst. Steklova, 2015, Volume 290, Pages 254–271 (Mi tm3649)

Capacity of a compact set in a logarithmic potential field

V. I. Buslaev

Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia

Abstract: We obtain a formula for determining the capacity of a compact set in the external field created by a spherically normalized logarithmic potential of a measure supported outside the compact set.

 Funding Agency Grant Number Russian Science Foundation 14-50-00005 This work is supported by the Russian Science Foundation under grant 14-50-00005.

DOI: https://doi.org/10.1134/S0371968515030218

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English version:
Proceedings of the Steklov Institute of Mathematics, 2015, 290:1, 238–255

Bibliographic databases:

UDC: 517.53
\Bibitem{Bus15} \by V.~I.~Buslaev \paper Capacity of a compact set in a logarithmic potential field \inbook Modern problems of mathematics, mechanics, and mathematical physics \bookinfo Collected papers \serial Tr. Mat. Inst. Steklova \yr 2015 \vol 290 \pages 254--271 \publ MAIK Nauka/Interperiodica \publaddr Moscow \mathnet{http://mi.mathnet.ru/tm3649} \crossref{https://doi.org/10.1134/S0371968515030218} \elib{http://elibrary.ru/item.asp?id=24045410} \transl \jour Proc. Steklov Inst. Math. \yr 2015 \vol 290 \issue 1 \pages 238--255 \crossref{https://doi.org/10.1134/S0081543815060218} \isi