On Removable Singularities of Harmonic Functions on a Stratified Set
Dairbekov N.S. Penkin O.M. Savasteev D.V.
August 2024Pleiades Publishing
Doklady Mathematics
2024#110Issue 1297 - 300 pp.
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 -measure are removable for bounded harmonic functions on an n-dimensional stratified set satisfying the strong sturdiness condition.
Harnack inequality , mean value , soft Laplacian , stratified measure
Text of the article Перейти на текст статьи
Institute of Mathematics and Mathematical Modeling, Almaty, Kazakhstan
SDU University, Kaskelen, Kazakhstan
Voronezh State University, Voronezh, Russian Federation
Institute of Mathematics and Mathematical Modeling
SDU University
Voronezh State University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026