Asymptotic behavior of ground states for a fractional Choquard equation with critical growth

In this paper, we are concerned with the following fractional Choquard equation with critical growth: $$(-\Delta)^s u+\lambda V(x)u=(|x|^{-\mu} \ast F(u))f(u)+|u|^{2^*_s-2}u ~\hbox{in}~\mathbb{R}^N,$$ where $s\in (0,1)$, $N>2s$, $\mu\in (0,N)$, $2^*_s=\frac{2N}{N-2s}$ is the fractional critical...

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Bibliographic Details
Main Authors: Xianyong Yang, Qing Miao
Format: Article
Language:English
Published: AIMS Press 2021-02-01
Series:AIMS Mathematics
Subjects:
Online Access:http://www.aimspress.com/article/doi/10.3934/math.2021228?viewType=HTML