Inverse mean value property of solutions to the modified Helmholtz equation
نویسندگان
چکیده
A theorem characterizing balls in the Euclidean space R m \mathbb {R}^m analytically is proved. For this purpose, positive solutions of modified Helmholtz equation are applied instead harmonic functions used previous results. The resulting Kuran type involves volume mean value property to equation. Other plausible inverse properties these discussed.
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ژورنال
عنوان ژورنال: St Petersburg Mathematical Journal
سال: 2022
ISSN: ['1061-0022', '1547-7371']
DOI: https://doi.org/10.1090/spmj/1735