Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8898842 | Journal of Differential Equations | 2018 | 45 Pages |
Abstract
In this paper, we study an elliptic equation arising from the self-dual Maxwell gauged O(3) sigma model coupled with gravity. When the parameter Ï equals 1 and there is only one singular source, we consider radially symmetric solutions. There appear three important constants: a positive parameter a representing a scaled gravitational constant, a nonnegative integer N1 representing the total string number, and a nonnegative integer N2 representing the total anti-string number. The values of the products aN1,aN2â[0,â) play a crucial role in classifying radial solutions. By using the decay rates of solutions at infinity, we provide a complete classification of solutions for all possible values of aN1 and aN2. This improves previously known results.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Nari Choi, Jongmin Han,