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Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy Upravlenia, 2024, Volume 518, Pages 5–9
DOI: https://doi.org/10.31857/S2686954324040015 (Mi danma543) 		 
This article is cited in 1 scientific paper (total in 1 paper)

MATHEMATICS

On removable singularities of harmonic functions on a stratified set

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

a Institute of Mathematics and Mechanics, Kazakhstan National Academy of Sciences, Almaty, the Republic of Kazakhstan
b SDU University, Kaskelen, the Republic of Kazakhstan
c Voronezh State University
Full-text PDF Citations (1)
DOI: https://doi.org/10.31857/S2686954324040015
Abstract: We consider sets removable for bounded harmonic functions on a stratified set with flat interior strata. It is proved that relatively closed sets of finite Hausdorff $(n-2)$-measure are removable for bounded harmonic functions on an $n$-dimensional stratified set satisfying the strong sturdiness condition.
Keywords: stratified measure, soft Laplacian, mean value, Harnack inequality.
Funding agency Grant number
Ministry of Education and Science of the Republic of Kazakhstan AP14871251
This work was supported by the Ministry of Science and Higher Education of the Republic of Kazakhstan, project AP14871251.
Presented: I. A. Taimanov
Received: 26.05.2024
Revised: 21.06.2024
Accepted: 05.07.2024
English version:
Doklady Mathematics, 2024, Volume 110, Issue 1, Pages 297–300
DOI: https://doi.org/10.1134/S1064562424601379
Bibliographic databases:
Document Type: Article
UDC: 517.596.2
Language: Russian
Citation: N. S. Dairbekov, O. M. Penkin, D. Savasteev, “On removable singularities of harmonic functions on a stratified set”, Dokl. RAN. Math. Inf. Proc. Upr., 518 (2024), 5–9; Dokl. Math., 110:1 (2024), 297–300
Citation in format AMSBIB
\Bibitem{DaiPenSav24}
\by N.~S.~Dairbekov, O.~M.~Penkin, D.~Savasteev
\paper On removable singularities of harmonic functions on a stratified set
\jour Dokl. RAN. Math. Inf. Proc. Upr.
\yr 2024
\vol 518
\pages 5--9
\mathnet{http://mi.mathnet.ru/danma543}
\crossref{https://doi.org/10.31857/S2686954324040015}
\elib{https://elibrary.ru/item.asp?id=74176070}
\transl
\jour Dokl. Math.
\yr 2024
\vol 110
\issue 1
\pages 297--300
\crossref{https://doi.org/10.1134/S1064562424601379}
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