Inverse mean value property of solutions to the modified Helmholtz equation
Analysis of PDEs
2022-05-05 v6
Abstract
A theorem characterizing analytically balls in the Euclidean space is proved. For this purpose positive solutions of the modified Helmholtz equation are used instead of harmonic functions applied in previous results. The obtained Kuran type theorem is based on the volume mean value property of solutions to this equation.
Keywords
Cite
@article{arxiv.2105.13763,
title = {Inverse mean value property of solutions to the modified Helmholtz equation},
author = {Nikolay Kuznetsov},
journal= {arXiv preprint arXiv:2105.13763},
year = {2022}
}
Comments
5 pages, no figures, corrections made