ABODAYEH Kamaleldin, ANANDAM Victor,
Potential-theoretic study of functions on an infinite network.
Hokkaido Mathematical Journal, 37 (2008) pp.59-73
In the context of an infinite network $N$, the Dirichlet problem with respect to an arbitrary subset of vertices $N$ is solved.Using this solution, some of the important potential-theoretic concepts like Balayage, Domination principle, and Poisson kernel are investigated in $N$.
|Uncontrolled Keywords||infinite network, Dirichlet problem, Poisson kernel, Balayage, Green's formulas|