Exact asymptotic behavior of singular positive solutions of fractional semi-linear elliptic equations
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- by Hui Yang and Wenming Zou PDF
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Abstract:
In this paper, we prove the exact asymptotic behavior of singular positive solutions of fractional semi-linear equations \begin{equation*} (-\Delta )^\sigma u = u^p \textrm { in } B_1\backslash \{0\} \end{equation*} with an isolated singularity, where $\sigma \in (0, 1)$ and $\frac {n}{n-2\sigma } < p < \frac {n+2\sigma }{n-2\sigma }$.References
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Additional Information
- Hui Yang
- Affiliation: Yau Mathematical Sciences Center, Tsinghua University, Beijing 100084, People’s Republic of China
- Email: hui-yang15@mails.tsinghua.edu.cn
- Wenming Zou
- Affiliation: Department of Mathematical Sciences, Tsinghua University, Beijing 100084, People’s Republic of China
- MR Author ID: 366305
- Email: wzou@math.tsinghua.edu.cn
- Received by editor(s): June 7, 2018
- Received by editor(s) in revised form: August 28, 2018, and October 11, 2018
- Published electronically: March 26, 2019
- Additional Notes: This research was supported by NSFC
- Communicated by: Joachim Krieger
- © Copyright 2019 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 147 (2019), 2999-3009
- MSC (2010): Primary 35B09, 35B40, 35J70, 35R11
- DOI: https://doi.org/10.1090/proc/14448
- MathSciNet review: 3973901