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Transactions of the American Mathematical Society

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

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.43.

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Relativistic Chern–Simons–Higgs vortex equations
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by Xiaosen Han and Yisong Yang PDF
Trans. Amer. Math. Soc. 368 (2016), 3565-3590 Request permission

Abstract:

An existence theorem is established for the solutions to the non-Abelian relativistic Chern–Simons–Higgs vortex equations over a doubly periodic domain when the gauge group $G$ assumes the most general and important prototype form, $G=SU(N)$.
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Additional Information
  • Xiaosen Han
  • Affiliation: Institute of Contemporary Mathematics, School of Mathematics and Statistics, Henan University, Kaifeng, Henan 475000, People’s Republic of China
  • MR Author ID: 800748
  • Email: hanxiaosen@henu.edu.cn
  • Yisong Yang
  • Affiliation: Institute of Contemporary Mathematics, Henan University, Kaifeng, Henan 475000, People’s Republic of China – and – Department of Mathematics, Polytechnic School of Engineering, New York University, Brooklyn, New York 11201 – and – NYU-ECNU Institute of Mathematical Sciences, New York University - Shanghai, 3663 North Zhongshan Road, Shanghai 200062, People’s Republic of China
  • MR Author ID: 191019
  • Email: yisongyang@nyu.edu
  • Received by editor(s): April 23, 2014
  • Published electronically: August 20, 2015
  • Additional Notes: The first author was supported in part by the National Natural Science Foundation of China under grant 11201118 and by the Key Foundation for Henan Colleges under grant 15A110013. Both authors were supported in part by the National Natural Science Foundation of China under grants 11471100 and 11471099
  • © Copyright 2015 American Mathematical Society
  • Journal: Trans. Amer. Math. Soc. 368 (2016), 3565-3590
  • MSC (2010): Primary 35C08, 35J50, 35Q70
  • DOI: https://doi.org/10.1090/tran/6746
  • MathSciNet review: 3451886