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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Topological solutions for the self-dual Chern-Simons $CP(1)$ model with large Chern-Simons coupling constant
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by Zhi-You Chen PDF
Proc. Amer. Math. Soc. 144 (2016), 191-203 Request permission

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.
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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