Classification of solutions of elliptic equations arising from a gravitational O(3) gauge field modelopen access
- Authors
- Choi, Nari; Han, Jongmin
- Issue Date
- Apr-2018
- Publisher
- ACADEMIC PRESS INC ELSEVIER SCIENCE
- Keywords
- Topological solutions; Nontopological solutions; Gravitational Maxwell gauged O(3) sigma model
- Citation
- JOURNAL OF DIFFERENTIAL EQUATIONS, v.264, no.8, pp.4944 - 4988
- Indexed
- SCIE
SCOPUS
- Journal Title
- JOURNAL OF DIFFERENTIAL EQUATIONS
- Volume
- 264
- Number
- 8
- Start Page
- 4944
- End Page
- 4988
- URI
- https://scholarworks.bwise.kr/hanyang/handle/2021.sw.hanyang/191514
- DOI
- 10.1016/j.jde.2017.12.030
- ISSN
- 0022-0396
- 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 tau equals 1 and there is only one singular source, we consider radially symmetric solutions. There appear three important constants: a positive parameter arepresenting a scaled gravitational constant, anonnegative integer N-1 representing the total string number, and a nonnegative integer N-2 representing the total anti-string number. The values of the products aN(1), aN(2) is an element of [0, infinity) 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 aN(1) and aN(2). This improves previously known results.
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