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. 出版者: Elsevier Inc 出版日期: 2013-10-01 出處: Journal of functional analysis, 2013-10, Vol.265 (7), p.1240-1263 資源來源: Elsevier ScienceDirect Journals Complete 版權: 2013 Elsevier Inc. 識別號: ISSN: 0022-1236 識別號: EISSN: 1096-0783 識別號: DOI: 10.1016/j.jfa.2013.05.041