Bubbling string solutions for the self-dual Einstein-Maxwell-Higgs equation

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:471

Article

Han, Jongmin¹  Sohn, Juhee² 

[1] Kyung Hee Univ, Dept Math, Seoul 130701, South Korea

[2] Dar Es Salaam Univ, Dept Math, Dar Es Salaam, Tanzania

关键词: Self-dual;    Einstein-Maxwell-Higgs equation;    Bubbling solutions;   

DOI  :  10.1016/j.jmaa.2018.11.011

来源: Elsevier

【 摘 要 】

In this article, we establish the existence of type I nontopological bubbling solutions for the Einstein Maxwell Higgs equation in R-2. Our solutions bubble at some string points and the local profile near those points comes from the radially symmetric solutions. We also prove that such bubbling solutions cannot exist on compact surfaces. (C) 2018 Elsevier Inc. All rights reserved.

【 授权许可】

Free