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
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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