Potential-theoretic study of functions on an infinite network
ABODAYEH, Kamaleldin ; ANANDAM, Victor
Hokkaido Math. J., Tome 37 (2008) no. 4, p. 59-73 / Harvested from Project Euclid
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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 $N$.
Publié le : 2008-02-15
Classification:  infinite network,  Dirichlet problem,  Poisson kernel,  Balayage,  Green's formulas,  31B15,  31C12 
@article{1253539587,
     author = {ABODAYEH, Kamaleldin and ANANDAM, Victor},
     title = {Potential-theoretic study of functions on an infinite network},
     journal = {Hokkaido Math. J.},
     volume = {37},
     number = {4},
     year = {2008},
     pages = { 59-73},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1253539587}
}

ABODAYEH, Kamaleldin; ANANDAM, Victor. Potential-theoretic study of functions on an infinite network. Hokkaido Math. J., Tome 37 (2008) no. 4, pp.  59-73. http://gdmltest.u-ga.fr/item/1253539587/