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In this paper, we discuss the existence and uniqueness of solutions of the constrained variational problem with respect to the fractional Kirchhoff equation. For the exponent p < p * ( s , N ), a complete classification with respect to p for the existence of solutions of the fractional Kirchhoff functional on the L 2 ‐normalized manifold was given. Furthermore, all these solutions are unique up to translations, and our methods depend only on some simple energy estimates.
Huang et al. (Fri,) studied this question.