Harnack’s Inequality for Harmonic Functions on Stratified Sets

We prove Harnack’s inequality for nonnegative harmonic functions in the sense of the “soft” Laplacian on a stratified set with flat strata.

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Bibliographic Details
Published in:Siberian mathematical journal 2023-09, Vol.64 (5), p.1137-1144
Main Authors: Dairbekov, N S., Penkin, O. M., Savasteev, D. V.
Format: Article
Language:English
Subjects:
Harmonic functions
Mathematics
Mathematics and Statistics
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Description
Summary:We prove Harnack’s inequality for nonnegative harmonic functions in the sense of the “soft” Laplacian on a stratified set with flat strata.
ISSN:0037-4466
1573-9260
DOI:10.1134/S0037446623050063