DOAJ
Open Access
2024
On mean value properties involving a logarithm-type weight
Nikolay Kuznetsov
Abstrak
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 compared with those without weight that were found earlier.
Topik & Kata Kunci
Penulis (1)
N
Nikolay Kuznetsov
Akses Cepat
Informasi Jurnal
- Tahun Terbit
- 2024
- Sumber Database
- DOAJ
- DOI
- 10.21136/MB.2023.0072-23
- Akses
- Open Access ✓