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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles 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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A Hopf type lemma for fractional equations
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by Congming Li and Wenxiong Chen
Proc. Amer. Math. Soc. 147 (2019), 1565-1575
DOI: https://doi.org/10.1090/proc/14342
Published electronically: January 8, 2019

Abstract:

In this paper, we prove a Hopf type lemma for anti-symmetric functions involving fractional equations. We believe that it will become a powerful tool in applying the method of moving planes on fractional equations to obtain qualitative properties of solutions.
References
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Bibliographic Information
  • Congming Li
  • Affiliation: School of Mathematical Sciences and Institute of Natural Sciences, Shanghai Jiao Tong University, Shanghai, People’s Republic of China 200240
  • MR Author ID: 259914
  • Email: congming.li@sjtu.edu.cn
  • Wenxiong Chen
  • Affiliation: Department of Mathematical Sciences, Yeshiva University, New York, New York 10033
  • MR Author ID: 205322
  • Email: wchen@yu.edu
  • Received by editor(s): February 3, 2018
  • Received by editor(s) in revised form: July 15, 2018
  • Published electronically: January 8, 2019
  • Additional Notes: The first author was partially supported by NSFC 11571233.
    The second author was partially supported by the Simons Foundation Collaboration Grant for Mathematicians 245486.
  • Communicated by: Guofang Wei
  • © Copyright 2019 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 147 (2019), 1565-1575
  • MSC (2010): Primary 35J60
  • DOI: https://doi.org/10.1090/proc/14342
  • MathSciNet review: 3910421