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, 2009, Volume 85, Issue 1, Pages 89–97
DOI: https://doi.org/10.4213/mzm4003 (Mi mzm4003) 		 
Schauder Estimates and Complete Regularity of the Solutions of an Elliptic System

D. V. Portnyagin

Institute for Condensed Matter Physics, National Academy of Sciences of Ukraine
Full-text PDF (454 kB)
References:
PDF
HTML
DOI: https://doi.org/10.4213/mzm4003
Abstract: We study the complete regularity of the solutions of a nondiagonal elliptic system of nonlinear differential equations of divergent form whose coefficients are sufficiently slowly varying functions of their arguments and whose off-diagonal terms are sufficiently small. To this end, we apply a technique based on successive approximations to the solution and the use of Schauder estimates at each step.
Keywords: nonlinear differential equation, elliptic system, Schauder estimate, complete regularity of solutions, Dirichlet boundary condition, Hölder continuity.
Received: 16.08.2007
Revised: 01.03.2008
English version:
Mathematical Notes, 2009, Volume 85, Issue 1, Pages 82–89
DOI: https://doi.org/10.1134/S0001434609010088
Bibliographic databases:
UDC: 517.956.2
Language: Russian
Citation: D. V. Portnyagin, “Schauder Estimates and Complete Regularity of the Solutions of an Elliptic System”, Mat. Zametki, 85:1 (2009), 89–97; Math. Notes, 85:1 (2009), 82–89
Citation in format AMSBIB
\Bibitem{Por09}
\by D.~V.~Portnyagin
\paper Schauder Estimates and Complete Regularity of the Solutions of an Elliptic System
\jour Mat. Zametki
\yr 2009
\vol 85
\issue 1
\pages 89--97
\mathnet{http://mi.mathnet.ru/mzm4003}
\crossref{https://doi.org/10.4213/mzm4003}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2547966}
\zmath{https://zbmath.org/?q=an:1181.35067}
\transl
\jour Math. Notes
\yr 2009
\vol 85
\issue 1
\pages 82--89
\crossref{https://doi.org/10.1134/S0001434609010088}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000264327200008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-62949187443}
Linking options:
  • https://www.mathnet.ru/eng/mzm4003
  • https://doi.org/10.4213/mzm4003
  • https://www.mathnet.ru/eng/mzm/v85/i1/p89
    • 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:367
    Full-text PDF :182
    References:58
    First page:7
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024