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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2025, Volume 521, Pages 5–10
DOI: https://doi.org/10.31857/S2686954325010016 (Mi danma613) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On the Zaremba problem for inhomogeneous $p$-Laplace equation with drift

Yu. A. Alkhutova, M. D. Surnachevb, A. G. Chechkinacd

a Vladimir State University
b Keldysh Institute of Applied Mathematics of Russian Academy of Sciences, Moscow
c Lomonosov Moscow State University
d Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa
Citations (1)
DOI: https://doi.org/10.31857/S2686954325010016
Abstract: A higher integrability of the gradient of a solution to the Zaremba problem in a bounded Lipschitz domain is proved for the inhomogeneous $p$-Laplace equation with drift.
Keywords: Zaremba problem, Meyers estimates, $p$-capacity, imbedding theorems, higher integrability, critical indicator.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation FZUN-2023-0004
Yu.A. Alkhutov performed his work (Theorem 2) as part of the state assignment at Vladimir State University, project no. FZUN-2023-0004.
The research of M.D. Surnachev (Theorem 1) was carried out within the framework of the state assignment of Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences.
Presented: V. V. Kozlov
Received: 25.12.2024
Revised: 31.01.2025
Accepted: 31.01.2025
English version:
Doklady Mathematics, 2025, Volume 111, Issue 1, Pages 1–5
DOI: https://doi.org/10.1134/S1064562424602749
Bibliographic databases:
Document Type: Article
UDC: 517.954+517.982
Language: Russian
Citation: Yu. A. Alkhutov, M. D. Surnachev, A. G. Chechkina, “On the Zaremba problem for inhomogeneous $p$-Laplace equation with drift”, Dokl. RAN. Math. Inf. Proc. Upr., 521 (2025), 5–10; Dokl. Math., 111:1 (2025), 1–5
Citation in format AMSBIB
\Bibitem{AlkSurChe25}
\by Yu.~A.~Alkhutov, M.~D.~Surnachev, A.~G.~Chechkina
\paper On the Zaremba problem for inhomogeneous $p$-Laplace equation with drift
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2025
\vol 521
\pages 5--10
\mathnet{http://mi.mathnet.ru/danma613}
\elib{https://elibrary.ru/item.asp?id=80559500}
\transl
\jour Dokl. Math.
\yr 2025
\vol 111
\issue 1
\pages 1--5
\crossref{https://doi.org/10.1134/S1064562424602749}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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