島根大学総合理工学研究科
ISSN:1342-7121
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Use this link to cite this item : https://ir.lib.shimane-u.ac.jp/28649
Memoirs of the Graduate School of Science and Engineering, Shimane University. Series B, Mathematics 47
2014-03 発行
The dirichlet problem for ∞-harmonic functions on a network
Kurata, Hisayasu
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We define the notion of ∞-harmonic functions on a network as a discrete version of that on a euclidean domain, and show some properties of such functions. We discuss the Dirichlet problems for discrete ∞-harmonic functions. We also show that limits of discrete p-harmonic functions as p → ∞ are in factdiscrete ∞-harmonic.
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