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, 2011, Volume 52, Number 3, Pages 619–634 (Mi smj2224)  
Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities

M. G. Lepchinskiĭ

Chelyabinsk State University, Chelyabinsk
Full-text PDF (333 kB)
References:
PDF
HTML
Abstract: We consider the situation when a resonant elliptic boundary value problem with an unbounded discontinuous nonlinearity is an idealization of a distributed system with continuous nonlinearities with respect to the phase variable and possessing narrow regions in the phase variable domain where the changes of nonlinear parameters are intractable. We study the existence of solutions to problems of this type.
Keywords: resonant elliptic problem, discontinuous nonlinearities, sublinear growth, Landesman–Lazer conditions, variational method.
Received: 24.09.2007
English version:
Siberian Mathematical Journal, 2011, Volume 52, Issue 3, Pages 487–500
DOI: https://doi.org/10.1134/S0037446611030116
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: M. G. Lepchinskiǐ, “Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities”, Sibirsk. Mat. Zh., 52:3 (2011), 619–634; Siberian Math. J., 52:3 (2011), 487–500
Citation in format AMSBIB
\Bibitem{Lep11}
\by M.~G.~Lepchinski{\v\i}
\paper Existence of solutions to resonant elliptic boundary value problems with unbounded discontinuous nonlinearities
\jour Sibirsk. Mat. Zh.
\yr 2011
\vol 52
\issue 3
\pages 619--634
\mathnet{http://mi.mathnet.ru/smj2224}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2858647}
\transl
\jour Siberian Math. J.
\yr 2011
\vol 52
\issue 3
\pages 487--500
\crossref{https://doi.org/10.1134/S0037446611030116}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000298648800011}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-79959764798}
Linking options:
  • https://www.mathnet.ru/eng/smj2224
  • https://www.mathnet.ru/eng/smj/v52/i3/p619
    • 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, 2024