Abstract
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 $N$.
Citation
Kamaleldin ABODAYEH. Victor ANANDAM. "Potential-theoretic study of functions on an infinite network." Hokkaido Math. J. 37 (1) 59 - 73, February 2008. https://doi.org/10.14492/hokmj/1253539587
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