Boundary Properties of Minimal Harmonic Functions

John T. Kemper
1976 Proceedings of the American Mathematical Society  
Certain elements of the boundary dependence of minimal harmonic functions in Euclidean domains are considered. For a given minimal harmonic function A on a domain Í2, sets on the boundary of Q or (relative) neighborhoods of such sets are sought wherein the behavior of h determines h in all of ti. The set of determining singletons on the boundary is shown to be connected.
doi:10.2307/2041140 fatcat:x4cvy5twfzbulpfpm2r3d7n6je