Evaluating solutions on an elliptic problem in a gravitational gauge field theory

Jann Long Chern; Sze Guang Yang

doi:10.1016/j.jfa.2013.05.041

Evaluating solutions on an elliptic problem in a gravitational gauge field theory

Jann Long Chern^*
, Sze Guang Yang

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

14 引文斯高帕斯（Scopus）

摘要

An elliptic equation arising from the study of static solutions with prescribed zeros and poles of the Einstein equations coupled with the classical sigma model and an Abelian gauge field, is considered. We classify the solutions and establish the uniqueness of radially symmetric solutions. We also complete a classification of symmetric solutions of an elliptic equation on the sphere.

原文	英語
頁（從 - 到）	1240-1263
頁數	24
期刊	Journal of Functional Analysis
卷	265
發行號	7
DOIs	https://doi.org/10.1016/j.jfa.2013.05.041
出版狀態	已發佈 - 2013 10月 1
對外發佈	是

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10.1016/j.jfa.2013.05.041

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title = "Evaluating solutions on an elliptic problem in a gravitational gauge field theory",

abstract = "An elliptic equation arising from the study of static solutions with prescribed zeros and poles of the Einstein equations coupled with the classical sigma model and an Abelian gauge field, is considered. We classify the solutions and establish the uniqueness of radially symmetric solutions. We also complete a classification of symmetric solutions of an elliptic equation on the sphere.",

keywords = "A gravitational gauge field theory, Nonlinear elliptic equation, Uniqueness and classification of symmetric solutions",

author = "Chern, \{Jann Long\} and Yang, \{Sze Guang\}",

note = "Funding Information: Work partially supported by National Science Council of Taiwan . ",

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AB - An elliptic equation arising from the study of static solutions with prescribed zeros and poles of the Einstein equations coupled with the classical sigma model and an Abelian gauge field, is considered. We classify the solutions and establish the uniqueness of radially symmetric solutions. We also complete a classification of symmetric solutions of an elliptic equation on the sphere.

KW - A gravitational gauge field theory

KW - Nonlinear elliptic equation

KW - Uniqueness and classification of symmetric solutions

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Evaluating solutions on an elliptic problem in a gravitational gauge field theory

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