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.
UDC:
517.596.2
Presented:I. A. Taimanov Received: 26.05.2024 Revised: 21.06.2024 Accepted: 05.07.2024