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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2022, Volume 19, Issue 1, Pages 109–119
DOI: https://doi.org/10.33048/semi.2022.19.010 (Mi semr1486) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Real, complex and functional analysis

Optimal discrete Neumann energy in a ball and an annulus

E. G. Prilepkinaab, A. S. Afanaseva-Grigorevaa

a Far Eastern Federal University, 10, Ajax Bay, Russky Island, Vladivostok, 690922, Russia
b Institute of Applied Mathematics, FEBRAS, 7, Radio str., Vladivostok, 690041, Russia
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DOI: https://doi.org/10.33048/semi.2022.19.010
Abstract: In this paper, we prove some exact estimates for the discrete Neumann energy of a ball and an annulus in Euclidean space for points located on circles. The proofs are based on dissymmetrization and analysis of the asymptotic behavior of the Dirichlet integral of the potential function.
Keywords: discrete energy, Green function, Neumann function, dissymmetrization.
Funding agency Grant number
Russian Foundation for Basic Research 20-01-00018
Ministry of Science and Higher Education of the Russian Federation 075-02-2021-1395
This work was supported by RFBR (project 20-01-00018) and Ministry of Science and Higher Education of the Russian Federation (agreement No. 075-02-2021-1395).
Received September 6, 2021, published February 3, 2022
Bibliographic databases:
Document Type: Article
UDC: 517.956.224
MSC: 31A15
Language: English
Citation: E. G. Prilepkina, A. S. Afanaseva-Grigoreva, “Optimal discrete Neumann energy in a ball and an annulus”, Sib. Èlektron. Mat. Izv., 19:1 (2022), 109–119
Citation in format AMSBIB
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\by E.~G.~Prilepkina, A.~S.~Afanaseva-Grigoreva
\paper Optimal discrete Neumann energy in a ball and an annulus
\jour Sib. \`Elektron. Mat. Izv.
\yr 2022
\vol 19
\issue 1
\pages 109--119
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\crossref{https://doi.org/10.33048/semi.2022.19.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4377438}
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