Quasi-Symmetricity for the Nonlinear Green Function on a Tree

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概要

• 論文の詳細を見る

• It is well known that the linear Green function is symmetric as a two variable function. However it is not known whether the nonlinear Green function is symmetric or not. Moreover it is not known even whether that is quasi-symmetric or not, which means that the symmetric ratio of the nonlinear Green function is bounded or not. In this article we show that, for every tree, there exists a resistance such that the nonlinear Green function is quasi-symmetric; also we show that, for every tree, there exists a resistance such that the nonlinear Green function is not quasi-symmetric.

• 東北大学の論文

著者

• KURATA Hisayasu

  Yonago National College of Technology

関連論文

• Quasi-Symmetricity for the Nonlinear Green Function on a Tree

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