| 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
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| Title Alternative (English) | Nonlinear Potentials on an Infinite Network
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| File | |
| language |
eng
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| Author |
Murakami, Atsushi
Yamasaki, Maretsugu
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| Description | 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.
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| Journal Title |
Memoirs of the Faculty of Science, Shimane University
|
| Volume | 26
|
| Start Page | 15
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| End Page | 28
|
| ISSN | 03879925
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| Published Date | 1992-12-25
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| NCID | AN00108106
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| Publisher | 島根大学理学部
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| Publisher Aalternative | The Faculty of Science, Shimane University
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| NII Type |
Departmental Bulletin Paper
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| OAI-PMH Set |
Faculty of Science and Engineering
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| 他の一覧 |
