Bubbling solutions for the gravitational Maxwell gauged O(3) model in R^2

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.