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, 2005, Volume 77, Issue 3, Pages 424–433
DOI: https://doi.org/10.4213/mzm2503
(Mi mzm2503)
 

This article is cited in 5 scientific papers (total in 5 papers)

Removable singularities of solutions of second-order divergence-form elliptic equations

A. V. Pokrovskii

Institute of Mathematics, Ukrainian National Academy of Sciences
Full-text PDF (236 kB) Citations (5)
References:
Abstract: Let $L$ be a uniformly elliptic linear second-order differential operator in divergence form with bounded measurable coefficients in a bounded domain $G\subset\mathbb R^n$ $(n\geqslant2)$. In this paper, we introduce subclasses of the Sobolev class $W^{1,2}(G)_{\text{loc}}$ containing generalized solutions of the equation $Lu=0$ such that the closed sets of nonisolated removable singular points for such solutions can be described completely in terms of Hausdorff measures.
Received: 17.10.2003
English version:
Mathematical Notes, 2005, Volume 77, Issue 3, Pages 391–399
DOI: https://doi.org/10.1007/s11006-005-0038-7
Bibliographic databases:
UDC: 517.956
Language: Russian
Citation: A. V. Pokrovskii, “Removable singularities of solutions of second-order divergence-form elliptic equations”, Mat. Zametki, 77:3 (2005), 424–433; Math. Notes, 77:3 (2005), 391–399
Citation in format AMSBIB
\Bibitem{Pok05}
\by A.~V.~Pokrovskii
\paper Removable singularities of solutions of second-order divergence-form elliptic equations
\jour Mat. Zametki
\yr 2005
\vol 77
\issue 3
\pages 424--433
\mathnet{http://mi.mathnet.ru/mzm2503}
\crossref{https://doi.org/10.4213/mzm2503}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2157901}
\zmath{https://zbmath.org/?q=an:1112.35007}
\elib{https://elibrary.ru/item.asp?id=9150082}
\transl
\jour Math. Notes
\yr 2005
\vol 77
\issue 3
\pages 391--399
\crossref{https://doi.org/10.1007/s11006-005-0038-7}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000228965300009}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-20244388981}
Linking options:
  • https://www.mathnet.ru/eng/mzm2503
  • https://doi.org/10.4213/mzm2503
  • https://www.mathnet.ru/eng/mzm/v77/i3/p424
  • 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
    Математические заметки Mathematical Notes
    Statistics & downloads:
    Abstract page:468
    Full-text PDF :201
    References:60
    First page:1
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024