アクセス数 : 1210 件
ダウンロード数 : 79 件
この文献の参照には次のURLをご利用ください : https://ir.lib.shimane-u.ac.jp/655
島根大学理学部紀要 Volume 26
published_at 1992-12-25
無限ネットワーク上の非線形ポテンシャル
Nonlinear Potentials on an Infinite Network
Murakami Atsushi
Yamasaki Maretsugu
full_text_file
c0010026r002.pdf
( 1.15 MB )
Descriptions
The aim of this paper is to study some properties, of Dirichlet potentials and pure potentials of order p on an infinite network. It will be shown that several assumptions in the theory of general nonlinear potential theory are fulfilled in our case. The space of Dirichlet potentials of order p will play a crucial role in our study if the network is hyperbolic of order p. A nonlinear version of Cartan's domination principle will be shown with elementary properties of p-superharmonic functions.
About This Article
Pages
Other Article