Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports]
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Sib. Èlektron. Mat. Izv.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

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
Full-text PDF (351 kB) Citations (1)
References:
PDF
HTML
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
\Bibitem{PriAfa22}
\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
\mathnet{http://mi.mathnet.ru/semr1486}
\crossref{https://doi.org/10.33048/semi.2022.19.010}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4377438}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000762938900010}
Linking options:
  • https://www.mathnet.ru/eng/semr1486
  • https://www.mathnet.ru/eng/semr/v19/i1/p109
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:141
    Full-text PDF :54
    References:27
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024