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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)
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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
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.
Received: 01.03.2023 Revised: 27.07.2023 Accepted: 02.08.2023
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
Linking options:
https://www.mathnet.ru/eng/smj7808 https://www.mathnet.ru/eng/smj/v64/i5/p971
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