The existence and asymptotic behaviours of normalized solutions for critical fractional Schrödinger equation with Choquard term
نویسندگان
چکیده
In this paper, we consider the existence and asymptotic behaviours of solutions for following fractional equation$ \begin{align*} (-\Delta)^{s}u+\lambda u = \mu(I_{\alpha}\star|u|^p)|u|^{p-2}u+|u|^{2_{s}^{*}-2}u, \quad x\in \mathbb{R}^N, \end{align*} $under constraint$ \int_{\mathbb{R}^N}|u|^2dx c^2, $where $ N\ge2, \; I_{\alpha} \frac{1}{|x|^{N-\alpha}}, \alpha\in(N-2s, N), 2\le p<1+\frac{\alpha+2s}{N} 2_{s}^{*} \frac{2N}{N-2s} $.
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ژورنال
عنوان ژورنال: Discrete and Continuous Dynamical Systems
سال: 2023
ISSN: ['1553-5231', '1078-0947']
DOI: https://doi.org/10.3934/dcds.2022171