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, 2020, Volume 211, Issue 12, Pages 1737–1776
DOI: https://doi.org/10.1070/SM9371 (Mi sm9371) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Renormalized solutions of elliptic equations with variable exponents and general measure data

L. M. Kozhevnikovaab

a Sterlitamak Branch of Bashkir State University, Sterlitamak, Russia
b Elabuga Branch of Kazan (Volga region) Federal University, Elabuga, Russia
English version PDF (744 kB) Citations (2) Russian version article
References:
PDF
HTML
DOI: https://doi.org/10.1070/SM9371
Abstract: A class of second-order elliptic equations with variable nonlinearity exponents and the right-hand side in the form of the general Radon measure with finite total variation is considered. The existence of a renormalized solution of the Dirichlet problem is proved as a consequence of stability with respect to the convergence of the right-hand side of the equation.
Bibliography: 37 titles.
Keywords: quasilinear elliptic equation, renormalized solution, Radon measure, variable exponent, Dirichlet problem.
Funding agency Grant number
Russian Foundation for Basic Research 18-01-00428-a
This study was supported by the Russian Foundation for Basic Research (project no. 18-01-00428-а).
Received: 20.01.2020 and 07.04.2020
Bibliographic databases:
Document Type: Article
UDC: 517.956.25
MSC: Primary 35J62; Secondary 35J92
Language: English
Original paper language: Russian
Citation: L. M. Kozhevnikova, “Renormalized solutions of elliptic equations with variable exponents and general measure data”, Sb. Math., 211:12 (2020), 1737–1776
Citation in format AMSBIB
\Bibitem{Koz20}
\by L.~M.~Kozhevnikova
\paper Renormalized solutions of elliptic equations with~variable exponents and general measure data
\jour Sb. Math.
\yr 2020
\vol 211
\issue 12
\pages 1737--1776
\mathnet{http://mi.mathnet.ru//eng/sm9371}
\crossref{https://doi.org/10.1070/SM9371}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4181077}
\zmath{https://zbmath.org/?q=an:1459.35192}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2020SbMat.211.1737K}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000617464400001}
\elib{https://elibrary.ru/item.asp?id=46746847}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85101120016}
Linking options:
  • https://www.mathnet.ru/eng/sm9371
  • https://doi.org/10.1070/SM9371
  • https://www.mathnet.ru/eng/sm/v211/i12/p83
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математический сборник Sbornik: Mathematics
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024