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, 2006, Volume 79, Issue 3, Pages 450–469
DOI: https://doi.org/10.4213/mzm2714 (Mi mzm2714) 		 
This article is cited in 6 scientific papers (total in 6 papers)

On Morrey's estimate of the Sobolev norms of solutions of elliptic equations

S. V. Shaposhnikov

M. V. Lomonosov Moscow State University
Full-text PDF (274 kB) Citations (6)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm2714
Abstract: We give a complete proof of Morrey's estimate for the $W^{1,p}$-norm of a solution of a second-order elliptic equation on a domain in terms of the $L_1$-norm of this solution. The dependence of the constant in this estimate on the coefficients of the equation is investigated.
Received: 28.04.2005
English version:
Mathematical Notes, 2006, Volume 79, Issue 3, Pages 413–430
DOI: https://doi.org/10.1007/s11006-006-0046-2
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: S. V. Shaposhnikov, “On Morrey's estimate of the Sobolev norms of solutions of elliptic equations”, Mat. Zametki, 79:3 (2006), 450–469; Math. Notes, 79:3 (2006), 413–430
Citation in format AMSBIB
\Bibitem{Sha06}
\by S.~V.~Shaposhnikov
\paper On Morrey's estimate of the Sobolev norms of solutions of elliptic equations
\jour Mat. Zametki
\yr 2006
\vol 79
\issue 3
\pages 450--469
\mathnet{http://mi.mathnet.ru/mzm2714}
\crossref{https://doi.org/10.4213/mzm2714}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2251368}
\zmath{https://zbmath.org/?q=an:1143.35016}
\elib{https://elibrary.ru/item.asp?id=9192933}
\transl
\jour Math. Notes
\yr 2006
\vol 79
\issue 3
\pages 413--430
\crossref{https://doi.org/10.1007/s11006-006-0046-2}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000237374700012}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33646009699}
Linking options:
  • https://www.mathnet.ru/eng/mzm2714
  • https://doi.org/10.4213/mzm2714
  • https://www.mathnet.ru/eng/mzm/v79/i3/p450
    • This publication is cited in the following 6 articles:
    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, 2024