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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:
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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
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\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
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    References:71
    First page:17
     
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