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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2022, Volume 505, Pages 37–41
DOI: https://doi.org/10.31857/S2686954322040026 (Mi danma274) 		 
This article is cited in 8 scientific papers (total in 8 papers)

MATHEMATICS

Many-dimensional Zaremba problem for an inhomogeneous $p$-Laplace equation

Yu. A. Alkhutova, A. G. Chechkinabc

a Vladimir State University, Vladimir, Russia
b Lomonosov Moscow State University, Moscow, Russia
c Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Sciences, Ufa, Bashkortostan, Russia
Citations (8)
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DOI: https://doi.org/10.31857/S2686954322040026
Abstract: Higher integrability of the gradient of the solution to the Zaremba problem in a bounded Lipschitz many-dimensional domain for an inhomogeneous $p$-Laplace equation is proved.
Keywords: Zaremba problem, Meyers estimates, $p$-capacity, embedding theorems, higher integrability.
Funding agency Grant number
Russian Science Foundation 22-21-00292
This work was supported by the Russian Science Foundation, project no. 22-21-00292.
Presented: V. V. Kozlov
Received: 16.05.2022
Revised: 10.06.2022
Accepted: 15.06.2022
English version:
Doklady Mathematics, 2022, Volume 106, Issue 1, Pages 243–246
DOI: https://doi.org/10.1134/S1064562422040020
Bibliographic databases:
Document Type: Article
UDC: 517.954, 517.982
Language: Russian
Citation: Yu. A. Alkhutov, A. G. Chechkina, “Many-dimensional Zaremba problem for an inhomogeneous $p$-Laplace equation”, Dokl. RAN. Math. Inf. Proc. Upr., 505 (2022), 37–41; Dokl. Math., 106:1 (2022), 243–246
Citation in format AMSBIB
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\by Yu.~A.~Alkhutov, A.~G.~Chechkina
\paper Many-dimensional Zaremba problem for an inhomogeneous $p$-Laplace equation
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\pages 37--41
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\elib{https://elibrary.ru/item.asp?id=49344494}
\transl
\jour Dokl. Math.
\yr 2022
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\pages 243--246
\crossref{https://doi.org/10.1134/S1064562422040020}
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    • This publication is cited in the following 8 articles:
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    		Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia
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