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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) 		 
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
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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
Received: 01.03.2023
Revised: 27.07.2023
Accepted: 02.08.2023
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
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}
\crossref{https://doi.org/10.33048/smzh.2023.64.506}
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