Sbornik: Mathematics
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. Sb.:
Year:
Volume:
Issue:
Page:
Find




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

Sbornik: Mathematics, 2011, Volume 202, Issue 6, Pages 909–934
DOI: https://doi.org/10.1070/SM2011v202n06ABEH004171 (Mi sm7682) 		 
This article is cited in 5 scientific papers (total in 5 papers)

Approximative compactness and nonuniqueness in variational problems, and applications to differential equations

I. G. Tsar'kov

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
English version PDF (388 kB) Citations (5)
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM2011v202n06ABEH004171
Abstract: The paper is concerned with the study of sets which are approximatively compact with respect to a family of functionals obtained by subtracting affine functionals from some fixed base functional. Nonconvexity of the base functional is shown to imply the minimum in a variational problem with some modified functional is not unique. The results obtained are applied to a specific equation involving the $q$-Laplacian.
Bibliography: 7 titles.
Keywords: approximative compactness, variational problem, nonlinear differential equation.
Received: 20.01.2010 and 29.09.2010
Russian version:
Matematicheskii Sbornik, 2011, Volume 202, Number 6, Pages 133–158
DOI: https://doi.org/10.4213/sm7682
Bibliographic databases:
Document Type: Article
UDC: 517.518.8+517.972+517.982.256
MSC: 41A65, 35A02
Language: English
Original paper language: Russian
Citation: I. G. Tsar'kov, “Approximative compactness and nonuniqueness in variational problems, and applications to differential equations”, Mat. Sb., 202:6 (2011), 133–158; Sb. Math., 202:6 (2011), 909–934
Citation in format AMSBIB
\Bibitem{Tsa11}
\by I.~G.~Tsar'kov
\paper Approximative compactness and nonuniqueness in variational problems, and applications to differential equations
\jour Mat. Sb.
\yr 2011
\vol 202
\issue 6
\pages 133--158
\mathnet{http://mi.mathnet.ru/sm7682}
\crossref{https://doi.org/10.4213/sm7682}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2849316}
\zmath{https://zbmath.org/?q=an:1235.46075}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2011SbMat.202..909T}
\elib{https://elibrary.ru/item.asp?id=19066287}
\transl
\jour Sb. Math.
\yr 2011
\vol 202
\issue 6
\pages 909--934
\crossref{https://doi.org/10.1070/SM2011v202n06ABEH004171}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000294703200014}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-80052735985}
Linking options:
  • https://www.mathnet.ru/eng/sm7682
  • https://doi.org/10.1070/SM2011v202n06ABEH004171
  • https://www.mathnet.ru/eng/sm/v202/i6/p133
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
    Statistics & downloads:
    Abstract page:631
    Russian version PDF:226
    English version PDF:13
    References:84
    First page:21
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024