Removable Singularities of Harmonic Functions on Stratified Sets
Dairbekov N.S. Penkin O.M. Savasteev D.V.
April 2024Multidisciplinary Digital Publishing Institute (MDPI)
Symmetry
2024#16Issue 4
There are deep historical connections between symmetry, harmonic functions, and stratified sets. In this article, 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.
gradient flux , mean value , soft Laplacian , stratified measure
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Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
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