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

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

13 Citations (Scopus)

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.

Original language	English
Pages (from-to)	1240-1263
Number of pages	24
Journal	Journal of Functional Analysis
Volume	265
Issue number	7
DOIs	https://doi.org/10.1016/j.jfa.2013.05.041
Publication status	Published - 2013 Oct 1
Externally published	Yes

Keywords

A gravitational gauge field theory
Nonlinear elliptic equation
Uniqueness and classification of symmetric solutions

ASJC Scopus subject areas

Analysis

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10.1016/j.jfa.2013.05.041

Cite this

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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 . ",

year = "2013",

month = oct,

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doi = "10.1016/j.jfa.2013.05.041",

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AU - Chern, Jann Long

AU - Yang, Sze Guang

N1 - Funding Information: Work partially supported by National Science Council of Taiwan .

PY - 2013/10/1

Y1 - 2013/10/1

N2 - 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.

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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DO - 10.1016/j.jfa.2013.05.041

M3 - Article

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SP - 1240

EP - 1263

JO - Journal of Functional Analysis

JF - Journal of Functional Analysis

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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