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Matematicheskie Zametki, 1993, Volume 53, Issue 1, Pages 68–82 (Mi mzm3921)  

This article is cited in 2 scientific papers (total in 2 papers)

Regularity of solutions of linear and quasilinear equations of elliptic type in divergence form

F. I. Mamedov

Azerbaijan polytechnic Institute named after Ch. Il'drym
Abstract: We prove estimates in C(D) and Lp(D) and in Orlicz norms of solutions of the following linear and quasilinear equations:
i,k=1nxi(aik(x)uxk)+i=1nxi(bi(x)u)+c(x)u=i=1nfixi
and
i=1nxi(ai(x,u,u))+h(x,u)=i=1nfixi,
depending on the membership of the functions c(x), bi(x) and fi(x) in various spaces Lp(D). We write out explicitly the constants in the estimates obtained.
Received: 12.11.1990
English version:
Mathematical Notes, 1993, Volume 53, Issue 1, Pages 50–58
DOI: https://doi.org/10.1007/BF01208522
Bibliographic databases:
UDC: 517.944
Language: Russian
Citation: F. I. Mamedov, “Regularity of solutions of linear and quasilinear equations of elliptic type in divergence form”, Mat. Zametki, 53:1 (1993), 68–82; Math. Notes, 53:1 (1993), 50–58
Citation in format AMSBIB
\Bibitem{Mam93}
\by F.~I.~Mamedov
\paper Regularity of solutions of linear and quasilinear equations of elliptic type in divergence form
\jour Mat. Zametki
\yr 1993
\vol 53
\issue 1
\pages 68--82
\mathnet{http://mi.mathnet.ru/mzm3921}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1215160}
\zmath{https://zbmath.org/?q=an:0838.35027}
\transl
\jour Math. Notes
\yr 1993
\vol 53
\issue 1
\pages 50--58
\crossref{https://doi.org/10.1007/BF01208522}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993MY10400007}
Linking options:
  • https://www.mathnet.ru/eng/mzm3921
  • https://www.mathnet.ru/eng/mzm/v53/i1/p68
  • This publication is cited in the following 2 articles:
    1. Maria Transirico, Sara Monsurrò, Farman Mamedov, Dynamical Systems and Differential Equations, AIMS Proceedings 2015 Proceedings of the 10th AIMS International Conference (Madrid, Spain), 2015, 793  crossref
    2. R. A. Amanov, F. I. Mamedov, “Regularity of the Solutions of Degenerate Elliptic Equations in Divergent Form”, Math. Notes, 83:1 (2008), 3–13  mathnet  crossref  crossref  mathscinet  zmath  isi
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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