2 citations · 3 across the 10 of their papers we have counts for
Showing 2022Show all
3 papers · 1 filter
math.AP2022★ 2 cited
Characterizations of discs via weighted means
Nikolay Kuznetsov
New theorems characterizing analytically discs in the Euclidean plane $\RR^2$ are proved. Weighted mean value properties of solutions to the modified Helmholtz equation and harmoni…
math.AP2022
"Potato kugel" for nuclear forces and a small one for acoustic waves
Nikolay Kuznetsov
The "potato kugel" theorem of Aharonov, Schiffer and Zalcman, which concerns an inverse property of harmonic functions, is extended to the settings of the modified Helmholtz and He…
math.AP2022
On characterization of balls via solutions to the Helmholtz equation
Nikolay Kuznetsov
A new analytical characterization of balls in the Euclidean space $\RR^m$ is obtained. Unlike previous results of this kind, using either harmonic functions or solutions to the mod…