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Matematicheskie Zametki, 2024, Volume 116, Issue 3, Pages 482–485
DOI: https://doi.org/10.4213/mzm14416 (Mi mzm14416) 		 
Brief Communications

Criteria for the existence of weak solutions of the Dirichlet problem for nonlinear degenerate elliptic equations for any right-hand side in $L^1$

A. A. Kovalevskyab

a N.N. Krasovskii 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
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DOI: https://doi.org/10.4213/mzm14416
Keywords: nonlinear degenerate elliptic equation, $L^1$-right-hand side, Dirichlet problem, weak solution, existence of a solution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
The research funding from the Ministry of Science and Higher Education of the Russian Federation (Ural Federal University Program of Development within the Priority-2030 Program) is gratefully acknowledged.
Received: 24.03.2024
English version:
Mathematical Notes, 2024, Volume 116, Issue 3, Pages 571–574
DOI: https://doi.org/10.1134/S0001434624090177
Document Type: Article
Language: Russian
Citation: A. A. Kovalevsky, “Criteria for the existence of weak solutions of the Dirichlet problem for nonlinear degenerate elliptic equations for any right-hand side in $L^1$”, Mat. Zametki, 116:3 (2024), 482–485; Math. Notes, 116:3 (2024), 571–574
Citation in format AMSBIB
\Bibitem{Kov24}
\by A.~A.~Kovalevsky
\paper Criteria for the existence of weak solutions of the Dirichlet problem for nonlinear degenerate elliptic equations for any right-hand side in $L^1$
\jour Mat. Zametki
\yr 2024
\vol 116
\issue 3
\pages 482--485
\mathnet{http://mi.mathnet.ru/mzm14416}
\crossref{https://doi.org/10.4213/mzm14416}
\transl
\jour Math. Notes
\yr 2024
\vol 116
\issue 3
\pages 571--574
\crossref{https://doi.org/10.1134/S0001434624090177}
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