A symmetry problem in potential theory. (English) Zbl 0222.31007


31B20 Boundary value and inverse problems for harmonic functions in higher dimensions
31B35 Connections of harmonic functions with differential equations in higher dimensions
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions


Zbl 0222.31008
Full Text: DOI


[1] Hopf, E., Elementare Bemerkungen über die Lösungen partieller Differentialgleichungen zweiter Ordnung vom elliptischen Typus. Berlin, Sber. Preuss. Akad. Wiss. 19, 147–152 (1927). · JFM 53.0454.02
[2] Protter, M. H., & H. F., Weinberger, Maximum Principles in Differential Equations. New Jersey: Prentice-Hall 1967. · Zbl 0153.13602
[3] Sokolnikoff, I. S., Mathematical Theory of Elasticity. New York: McGraw-Hill 1956. · Zbl 0070.41104
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