Harnack's inequality for harmonic functions on stratified sets

DOI10.1134/S0037446623050063zbMath1523.35132OpenAlexW4387063181MaRDI QIDQ6046799

Nurlan S. Dairbekov, D. V. Savasteev, O. M. Penkin

Publication date: 6 October 2023

Published in: Siberian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0037446623050063

zbMATH Keywords

harmonic functionHarnak inequalitysoft Laplacian

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Harmonic, subharmonic, superharmonic functions on other spaces (31C05)

Cites Work

• Elliptic partial differential equations of second order
• The Poincaré inequality and \(p\)-connectedness of a stratified set
• The mean-value theorem for elliptic operators on stratified sets
• An analog of the Sobolev inequality on a stratified set
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