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Matematicheskie Zametki, 2020, Volume 107, Issue 6, Pages 934–939
DOI: https://doi.org/10.4213/mzm12672 (Mi mzm12672) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Brief Communications

Summability of Solutions of the Dirichlet Problem for Nonlinear Elliptic Equations with Right-Hand Side in Classes Close to L1

A. A. Kovalevskyab

a Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg
b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg
Full-text PDF (390 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm12672
Keywords: nonlinear elliptic equation, Dirichlet problem, weak solution, entropy solution, summability of solutions.
Funding agency Grant number
Ministry of Education and Science of the Russian Federation 02.A03.21.0006
This work was supported in part by the Program for Increasing the Competitiveness of Leading Universities of the Russian Federation (agreement with the Ministry of Education and Science of the Russian Federation no. 02.A03.21.0006, August 27, 2013).
Received: 10.01.2020
English version:
Mathematical Notes, 2020, Volume 107, Issue 6, Pages 1023–1028
DOI: https://doi.org/10.1134/S000143462005034X
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Kovalevsky, “Summability of Solutions of the Dirichlet Problem for Nonlinear Elliptic Equations with Right-Hand Side in Classes Close to L1”, Mat. Zametki, 107:6 (2020), 934–939; Math. Notes, 107:6 (2020), 1023–1028
Citation in format AMSBIB
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\by A.~A.~Kovalevsky
\paper Summability of Solutions of the Dirichlet Problem
for Nonlinear Elliptic Equations with Right-Hand Side
in Classes Close to~$L^1$
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\yr 2020
\vol 107
\issue 6
\pages 934--939
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\pages 1023--1028
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Linking options:
  • https://www.mathnet.ru/eng/mzm12672
  • https://doi.org/10.4213/mzm12672
  • https://www.mathnet.ru/eng/mzm/v107/i6/p934
    • This publication is cited in the following 2 articles:
    1. M. D. Surnachev, “Harnack's Inequality of Weak Type for the Parabolic p(x)-Laplacian”, Math. Notes, 111:1 (2022), 161–165  mathnet  crossref  crossref  mathscinet  isi
    2. Kovalevsky A.A., “Summability of Solutions of Second-Order Nonlinear Elliptic Equations With Data in Classes Close to l-1”, Ric. Mat., 2021  crossref  isi  scopus
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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    References:55
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