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Preprints of the Keldysh Institute of Applied Mathematics, 2018, 069, 32 pp.
DOI: https://doi.org/10.20948/prepr-2018-69
(Mi ipmp2431)
 

This article is cited in 11 scientific papers (total in 11 papers)

On Harnack’s inequality for $p(x)$-Laplacian

M. D. Surnachev
References:
Abstract: In this note we prove a Harnack inequality for nonnegative solutions to elliptic $p(x)$-Laplacian and find conditions on the modulus of continuity of the exponent $p$ at a given point which guarantee the continuity of solutions at this point.
Keywords: $p(x)$-Laplacian, variable exponent, Harnack inequality, continuity of solutions.
Bibliographic databases:
Document Type: Preprint
Language: Russian
Citation: M. D. Surnachev, “On Harnack’s inequality for $p(x)$-Laplacian”, Keldysh Institute preprints, 2018, 069, 32 pp.
Citation in format AMSBIB
\Bibitem{Sur18}
\by M.~D.~Surnachev
\paper On Harnack’s inequality for $p(x)$-Laplacian
\jour Keldysh Institute preprints
\yr 2018
\papernumber 069
\totalpages 32
\mathnet{http://mi.mathnet.ru/ipmp2431}
\crossref{https://doi.org/10.20948/prepr-2018-69}
\elib{https://elibrary.ru/item.asp?id=32809197}
Linking options:
  • https://www.mathnet.ru/eng/ipmp2431
  • https://www.mathnet.ru/eng/ipmp/y2018/p69
  • This publication is cited in the following 11 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Ïðåïðèíòû Èíñòèòóòà ïðèêëàäíîé ìàòåìàòèêè èì. Ì. Â. Êåëäûøà ÐÀÍ
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    Abstract page:248
    Full-text PDF :103
    References:22
     
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