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Removable Singularities of Harmonic Functions on Stratified Sets
Version 1
: Received: 22 February 2024 / Approved: 22 February 2024 / Online: 23 February 2024 (08:35:24 CET)
A peer-reviewed article of this Preprint also exists.
Dairbekov, N.S.; Penkin, O.M.; Savasteev, D.V. Removable Singularities of Harmonic Functions on Stratified Sets. Symmetry 2024, 16, 486. Dairbekov, N.S.; Penkin, O.M.; Savasteev, D.V. Removable Singularities of Harmonic Functions on Stratified Sets. Symmetry 2024, 16, 486.
Abstract
We prove an analog of the removable singularity theorem for bounded harmonic functions on stratified sets. The harmonic functions are understood in the sense of the soft Laplacian. The result can become one of the main technical components for extending the well-known Poincaré–Perron’s method of proving the solvability of the Dirichlet problem for the soft Laplacian.
Keywords
stratified measure; soft Laplacian; mean value; gradient flux
Subject
Computer Science and Mathematics, Mathematics
Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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