On mean value properties involving a logarithm-type weight
Two new assertions characterizing analytically disks in the Euclidean plane $\mathbb{R}^2$ are proved. Weighted mean value property of positive solutions to the Helmholtz and modified Helmholtz equations are used for this purpose; the weight has a logarithmic singularity. The obtained results are co...
| Published in: | Mathematica Bohemica |
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| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Institute of Mathematics of the Czech Academy of Science
2024-10-01
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| Subjects: | |
| Online Access: | https://mb.math.cas.cz/full/149/3/mb149_3_9.pdf |