Fine singularity analysis of solutions to the Laplace equation: Berg's effect (Q2800518)
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scientific article; zbMATH DE number 6569636
| Language | Label | Description | Also known as |
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| English | Fine singularity analysis of solutions to the Laplace equation: Berg's effect |
scientific article; zbMATH DE number 6569636 |
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Fine singularity analysis of solutions to the Laplace equation: Berg's effect (English)
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15 April 2016
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singularities of harmonic functions
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polygonal domains
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piecewise constant Neumann data
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Berg's effect
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In the paper Berg's effect is studied on special domains. This effect is understood as a monotonicity of a harmonic function (with respect to the distance from the center of a flat part of the boundary) restricted to the boundary. The harmonic function must satisfy piecewise constant Neumann boundary conditions. The authors show that Berg's effect is a rare and fragile phenomenon.
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