| File | |
| Title |
無限ネットワーク上の非線形ポテンシャル
|
| Title |
Nonlinear Potentials on an Infinite Network
|
| Title Transcription |
ムゲン ネットワーク ジョウ ノ ヒ センケイ ポテンシャル
|
| Creator |
Murakami Atsushi
Yamasaki Maretsugu
|
| Source Title |
島根大学理学部紀要
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 26 |
| Start Page | 15 |
| End Page | 28 |
| Journal Identifire |
ISSN 03879925
|
| 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.
|
| Language |
eng
|
| Resource Type | departmental bulletin paper |
| Publisher |
島根大学理学部
The Faculty of Science, Shimane University
|
| Date of Issued | 1992-12-25 |
| Access Rights | open access |
| Relation |
[NCID] AN00108106
|
