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 <nobr>$L^1$</nobr>”, Mat. Zametki, 2024, Volume 116, Issue 3,Pages <nobr>482

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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. Kovalevsky^ab

^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

Keywords: nonlinear degenerate elliptic equation, $L^1$-right-hand side, Dirichlet problem, weak solution, existence of a solution.

Received: 24.03.2024

DOI: 10.4213/mzm14416