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, 2021, Volume 110, Issue 2, Pages 234–238
DOI: https://doi.org/10.4213/mzm13196 (Mi mzm13196) 		 
A Remark on the Steklov–Poincaré Inequality

Sh. M. Nasibov

Institute of Applied Mathematics, Baku State University
Full-text PDF (432 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm13196
Abstract: In an $n$-dimensional bounded domain $\Omega_n$, $n\ge 2$, we prove the Steklov–Poincaré inequality with the best constant in the case where $\Omega_n$ is an $n$-dimensional ball. We also consider the case of an unbounded domain with finite measure, in which the Steklov–Poincaré inequality is proved on the basis of a Sobolev inequality.
Keywords: Steklov's inequality, Poincaré inequality, Sobolev inequality, best constant.
Received: 05.02.2021
English version:
Mathematical Notes, 2021, Volume 110, Issue 2, Pages 221–225
DOI: https://doi.org/10.1134/S0001434621070233
Bibliographic databases:
Document Type: Article
UDC: 517.518
Language: Russian
Citation: Sh. M. Nasibov, “A Remark on the Steklov–Poincaré Inequality”, Mat. Zametki, 110:2 (2021), 234–238; Math. Notes, 110:2 (2021), 221–225
Citation in format AMSBIB
\Bibitem{Nas21}
\by Sh.~M.~Nasibov
\paper A Remark on the Steklov--Poincar\'e Inequality
\jour Mat. Zametki
\yr 2021
\vol 110
\issue 2
\pages 234--238
\mathnet{http://mi.mathnet.ru/mzm13196}
\crossref{https://doi.org/10.4213/mzm13196}
\elib{https://elibrary.ru/item.asp?id=46967610}
\transl
\jour Math. Notes
\yr 2021
\vol 110
\issue 2
\pages 221--225
\crossref{https://doi.org/10.1134/S0001434621070233}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000687705200023}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85113768672}
Linking options:
  • https://www.mathnet.ru/eng/mzm13196
  • https://doi.org/10.4213/mzm13196
  • https://www.mathnet.ru/eng/mzm/v110/i2/p234
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025