Boundary Properties of Minimal Harmonic Functions
John T. Kemper · Proceedings of the American Mathematical Society · 1976
Certain elements of the boundary dependence of minimal harmonic functions in Euclidean domains are considered. For a given minimal harmonic function h on a domain $\Omega$, sets on the boundary of $\Omega$ or (relative) neighborhoods of such sets are sought wherein the behavior of h determines h in all of $\Omega$. The set of determining singletons on the boundary is shown to be connected.