Geodesic
On the decrease of harmonic functions of three variables in a~solid of revolution
Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 725-733

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In this paper we prove a theorem on the decrease of harmonic functions of three variables in a solid of revolution $$ x>a, \quad \sqrt{{x_1}^2+{x_2}^2}\frac12h(x), $$ that is analogous to the theorem on the decrease of analytic functions in a domain. 
@article{IM2_1968_2_4_a3,
     author = {I. S. Arshon},
     title = {On the decrease of harmonic functions of three variables in a~solid of revolution},
     journal = {Izvestiya. Mathematics },
     pages = {725--733},
     publisher = {mathdoc},
     volume = {2},
     number = {4},
     year = {1968},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a3/}
}
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I. S. Arshon. On the decrease of harmonic functions of three variables in a~solid of revolution. Izvestiya. Mathematics , Tome 2 (1968) no. 4, pp. 725-733. http://geodesic.mathdoc.fr/item/IM2_1968_2_4_a3/