Abstract
A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz plane domain is proved for an inhomogeneous p-Laplace equation.
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Funding
Alkhutov, Kisatov, and Chechkina acknowledge the support of the Russian Science Foundation, project no. 22-21-00292. D’Apice’s research was supported by the program “Modeling, Simulation, and Optimization of Complex Systems.”
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Translated by I. Ruzanova
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Alkhutov, Y.A., D’Apice, C., Kisatov, M.A. et al. On Higher Integrability of the Gradient of Solutions to the Zaremba Problem for p-Laplace Equation. Dokl. Math. 108, 282–285 (2023). https://doi.org/10.1134/S1064562423700825
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DOI: https://doi.org/10.1134/S1064562423700825