Geodesic
Metaharmonic functions: mean flux theorem, its converse and related properties
Algebra i analiz, Tome 33 (2021) no. 2, pp. 82-97.

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The mean flux theorems are proved for solutions of the Helmholtz equation and its modified version. Also, their converses are considered along with some other properties which generalise those that guarantee harmonicity.
Keywords: metaharmonic function, mean value theorem, mean flux theorem, converse theorems. 
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N. Kuznetsov. Metaharmonic functions: mean flux theorem, its converse and related properties. Algebra i analiz, Tome 33 (2021) no. 2, pp. 82-97. http://geodesic.mathdoc.fr/item/AA_2021_33_2_a4/

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