Sibirskii Matematicheskii Zhurnal
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


Sibirsk. Mat. Zh.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Matematicheskii Zhurnal, 2001, Volume 42, Number 4, Pages 911–919 (Mi smj1433)  
This article is cited in 45 scientific papers (total in 46 papers)

Existence of a ray of eigenvalues for equations with discontinuous operators

V. N. Pavlenko, D. K. Potapov

Chelyabinsk State University
Full-text PDF (202 kB) Citations (46)
Abstract: We consider basic boundary value problems for semilinear equations of elliptic type with a discontinuous bounded nonlinearity depending multiplicatively on a parameter. Using the variational method, we establish existence of a half-axis of eigenvalues for the problems.
Received: 09.11.2000
English version:
Siberian Mathematical Journal, 2001, Volume 42, Issue 4, Pages 766–773
DOI: https://doi.org/10.1023/A:1010405800683
Bibliographic databases:
UDC: 517.95
Language: Russian
Citation: V. N. Pavlenko, D. K. Potapov, “Existence of a ray of eigenvalues for equations with discontinuous operators”, Sibirsk. Mat. Zh., 42:4 (2001), 911–919; Siberian Math. J., 42:4 (2001), 766–773
Citation in format AMSBIB
\Bibitem{PavPot01}
\by V.~N.~Pavlenko, D.~K.~Potapov
\paper Existence of a~ray of eigenvalues for equations with discontinuous operators
\jour Sibirsk. Mat. Zh.
\yr 2001
\vol 42
\issue 4
\pages 911--919
\mathnet{http://mi.mathnet.ru/smj1433}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=1865479}
\zmath{https://zbmath.org/?q=an:0986.47049}
\transl
\jour Siberian Math. J.
\yr 2001
\vol 42
\issue 4
\pages 766--773
\crossref{https://doi.org/10.1023/A:1010405800683}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000170501200012}
Linking options:
  • https://www.mathnet.ru/eng/smj1433
  • https://www.mathnet.ru/eng/smj/v42/i4/p911
    • This publication is cited in the following 46 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский математический журнал Siberian Mathematical Journal
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025