Abstract
In this paper, we consider the nonlinear equation arising from the Chern-Simons theory of planar matter fields interacting with the Chern-Simons gauge field in a CP(1) invariant fashion. Then, we establish the sharp region of flux for non-topological solutions and prove the classification of solutions of all types in the case of one vortex point. Moreover, we also give the complete result of Theorem 1.3 in the work by Choe et al. [J. Differ. Equations, 255, 2136 (2013)] from Theorem 1.4(ii) as follows.
Original language | English |
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Article number | 031510 |
Journal | Journal of Mathematical Physics |
Volume | 62 |
Issue number | 3 |
DOIs | |
Publication status | Published - 2021 Mar 1 |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Mathematical Physics