Topological solutions for the self-dual Chern-Simons $CP(1)$ model with large Chern-Simons coupling constant
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Abstract:
In this paper, we consider the self-dual Chern-Simons $CP(1)$ model in the whole plane $\mathbf {R}^2$. After reducing to a single equation, we prove the uniqueness of topological multivortex solutions for the model if the Chern-Simons coupling parameter is sufficiently large.References
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Additional Information
- Zhi-You Chen
- Affiliation: Department of Mathematics, National Central University, Chung-Li 32001, Taiwan
- MR Author ID: 869715
- Email: zhiyou@math.ncu.edu.tw
- Received by editor(s): June 6, 2014
- Received by editor(s) in revised form: November 27, 2014
- Published electronically: June 9, 2015
- Additional Notes: The work of the author was partially supported by the Ministry of Science and Technology, Taiwan (No. MOST-103-2115-M-008-011-MY3) and the National Natural Foundation of China (No. 11401144)
- Communicated by: Joachim Krieger
- © Copyright 2015 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 144 (2016), 191-203
- MSC (2010): Primary 35J15; Secondary 35A02
- DOI: https://doi.org/10.1090/proc/12680
- MathSciNet review: 3415588