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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 $L^1$

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 $L^1$”, Mat. Zametki, 107:6 (2020), 934–939; Math. Notes, 107:6 (2020), 1023–1028
Citation in format AMSBIB
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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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