Bubbling solutions for the gravitational Maxwell gauged O(3) model in R2. (May 2021)

• Record Type: Journal Article
• Authors: Choi, Nari; Han, Jongmin
• Is Part Of: Nonlinear analysis. Volume 206(2021)
• Publication Date: 2021-05
• Subjects: Nontopological solutions -- Gravitational Maxwell gauged O(3) sigma model; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2021.112257
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we construct type II nontopological bubbling solutions of the self-dual equation for the Maxwell gauged O ( 3 ) sigma model coupled with gravity in R 2 . Our solutions blow up at some of the string points or the anti-string points as the coupling parameter tends to zero and they are asymptotically radial near each blow-up point.