Abstract
Increased integrability of the gradient of the solution to the homogeneous Dirichlet problem for the Poisson equation with lower terms in a bounded Lipschitz domain is established. The unique solvability of this problem is also proved.
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Funding
The results of this work were obtained as part of the state assignment at Vladimir State University, project no. FZUN-2023-0004.
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Translated by I. Ruzanova
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Alkhutov, Y.A., Chechkina, A.G. On the Boyarsky–Meyers Estimate for the Gradient of the Solution to the Dirichlet Problem for a Second-Order Linear Elliptic Equation with Drift: The Case of Critical Sobolev Exponent. Dokl. Math. 109, 170–174 (2024). https://doi.org/10.1134/S1064562424701990
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DOI: https://doi.org/10.1134/S1064562424701990