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Sibirskii Matematicheskii Zhurnal, 2023, Volume 64, Number 5, Pages 971–981
DOI: https://doi.org/10.33048/smzh.2023.64.506
(Mi smj7808)
 

This article is cited in 3 scientific papers (total in 3 papers)

Harnack's inequality for harmonic functions on stratified sets

N. S. Dairbekovab, O. M. Penkinac, D. Savasteevc

a Institute of Mathematics, Ministry of Education and Science of the Republic of Kazakhstan, Almaty
b Suleyman Demirel University, Kaskelen, Almaty
c Voronezh State University
Full-text PDF (357 kB) Citations (3)
References:
DOI: https://doi.org/10.33048/smzh.2023.64.506
Abstract: We prove Harnack's inequality for nonnegative harmonic functions in the sense of the “soft” Laplacian on a stratified set with flat strata.
Keywords: soft Laplacian, stratified measure, mean value theorem.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14871251
The authors were supported by the Ministry of Science and Education of the Republic of Kazakhstan (Project AP14871251).
Received: 01.03.2023
Revised: 27.07.2023
Accepted: 02.08.2023
English version:
Siberian Mathematical Journal, 2023, Volume 64, Issue 5, Pages 1137–1144
DOI: https://doi.org/10.1134/S0037446623050063
Document Type: Article
UDC: 517.956.2
MSC: 35R30
Language: Russian
Citation: N. S. Dairbekov, O. M. Penkin, D. Savasteev, “Harnack's inequality for harmonic functions on stratified sets”, Sibirsk. Mat. Zh., 64:5 (2023), 971–981; Siberian Math. J., 64:5 (2023), 1137–1144
Citation in format AMSBIB
\Bibitem{DaiPenSav23}
\by N.~S.~Dairbekov, O.~M.~Penkin, D.~Savasteev
\paper Harnack's inequality for harmonic~functions on stratified sets
\jour Sibirsk. Mat. Zh.
\yr 2023
\vol 64
\issue 5
\pages 971--981
\mathnet{http://mi.mathnet.ru/smj7808}
\transl
\jour Siberian Math. J.
\yr 2023
\vol 64
\issue 5
\pages 1137--1144
\crossref{https://doi.org/10.1134/S0037446623050063}
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  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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