Harnack’s Inequality for Harmonic Functions on Stratified Sets


Dairbekov N.S. Penkin O.M. Savasteev D.V.
September 2023Pleiades Publishing

Siberian Mathematical Journal
2023#64Issue 51137 - 1144 pp.

We prove Harnack’s inequalityfor nonnegative harmonic functionsin the sense of the “soft” Laplacianon a stratified set with flat strata.

517.956.2 , mean value theorem , soft Laplacian , stratified measure

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Suleyman Demirel University, Kaskelen, Kazakhstan
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
Voronezh State University, Voronezh, Russian Federation

Suleyman Demirel University
Institute of Mathematics and Mathematical Modeling
Voronezh State University

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