Moscow Mathematical Journal
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


Mosc. Math. J.:
Year:
Volume:
Issue:
Page:
Find




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

Moscow Mathematical Journal, 2004, Volume 4, Number 2, Pages 369–375
DOI: https://doi.org/10.17323/1609-4514-2004-4-2-369-375 (Mi mmj153) 		 
This article is cited in 7 scientific papers (total in 7 papers)

Remarks on the membrane and buckling eigenvalues for planar domains

L. Friendlander

University of Arizona, Department of Mathematics
Full-text PDF Citations (7)
References:
PDF
HTML
DOI: https://doi.org/10.17323/1609-4514-2004-4-2-369-375
Abstract: I present a counter-example to the conjecture that the first eigenvalue of the clamped buckling problem in a planar domain is not smaller than the third eigenvalue of the fixed membrane in that domain. I also prove that the conjecture holds for domains that are invariant under rotation by angle $\pi/2$.
Key words and phrases: Eigenvalue inequalities, small eigenvalues, buckling problem.
Received: August 6, 2003
Bibliographic databases:
Document Type: Article
MSC: 35P15, 47A55, 47F05
Language: English
Citation: L. Friendlander, “Remarks on the membrane and buckling eigenvalues for planar domains”, Mosc. Math. J., 4:2 (2004), 369–375
Citation in format AMSBIB
\Bibitem{Fri04}
\by L.~Friendlander
\paper Remarks on the membrane and buckling eigenvalues for planar domains
\jour Mosc. Math.~J.
\yr 2004
\vol 4
\issue 2
\pages 369--375
\mathnet{http://mi.mathnet.ru/mmj153}
\crossref{https://doi.org/10.17323/1609-4514-2004-4-2-369-375}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2108442}
\zmath{https://zbmath.org/?q=an:1072.35134}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000208594700003}
Linking options:
  • https://www.mathnet.ru/eng/mmj153
  • https://www.mathnet.ru/eng/mmj/v4/i2/p369
    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Moscow Mathematical Journal
    Statistics & downloads:
    Abstract page:202
    References:61
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024