Abstract In this paper, we study multiple normalized solutions for the following Choquard equation: − Δ u + V (x) u + λ u = μ I α ∗ | u | p u p − 2 u + | u | 2 * − 2 u, in R N, ∫ R N | u | 2 = a > 0, cases-u+V (x) u+ u= (I u ^p) u^p-2u+ u ^{2^{}-2}u, in\, R^N, \\ ₑ^{N} u ^2=a >0, cases where N ⩾ 3, α ∈ (0, N), p ∈ 1 + α N − 2, 2 α * p (1+ N-2, 2 ^{}), I
Xing et al. (Thu,) studied this question.