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