Matematicheskie Zametki
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Forthcoming papers
Archive
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Zametki:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Zametki, 2017, Volume 102, Issue 6, Pages 844–850
DOI: https://doi.org/10.4213/mzm10465 (Mi mzm10465) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Inequalities for the Eigenvalues of the Riesz Potential

T. Sh. Kal'menov, D. Suragan

Institute of Mathematics and Mathematical Modeling, Ministry of Education and Science, Republic of Kazakhstan
Full-text PDF (449 kB) Citations (1)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm10465
Abstract: It is proved that, of all the domains with identical measure, it is the ball that maximizes the first eigenvalue of the Riesz potential. It is shown that the sum of the squares of all the eigenvalues is also maximized in the ball among all the domains with identical measure.
Keywords: eigenvalue, spectral geometry, Riesz potential.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan 4075/ГФ4
This work was supported by the Ministry of Education and Science of the Republic of Kazakhstan (grant no. 4075/GF4).
Received: 16.01.2015
Revised: 06.02.2017
English version:
Mathematical Notes, 2017, Volume 102, Issue 6, Pages 770–775
DOI: https://doi.org/10.1134/S0001434617110165
Bibliographic databases:
Document Type: Article
UDC: 517.984.53
Language: Russian
Citation: T. Sh. Kal'menov, D. Suragan, “Inequalities for the Eigenvalues of the Riesz Potential”, Mat. Zametki, 102:6 (2017), 844–850; Math. Notes, 102:6 (2017), 770–775
Citation in format AMSBIB
\Bibitem{KalSur17}
\by T.~Sh.~Kal'menov, D.~Suragan
\paper Inequalities for the Eigenvalues of the Riesz Potential
\jour Mat. Zametki
\yr 2017
\vol 102
\issue 6
\pages 844--850
\mathnet{http://mi.mathnet.ru/mzm10465}
\crossref{https://doi.org/10.4213/mzm10465}
\elib{https://elibrary.ru/item.asp?id=30737874}
\transl
\jour Math. Notes
\yr 2017
\vol 102
\issue 6
\pages 770--775
\crossref{https://doi.org/10.1134/S0001434617110165}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000418838500016}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85039447180}
Linking options:
  • https://www.mathnet.ru/eng/mzm10465
  • https://doi.org/10.4213/mzm10465
  • https://www.mathnet.ru/eng/mzm/v102/i6/p844
    • 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
    		Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:397
    Full-text PDF :67
    References:67
    First page:30
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024