Abstract In this paper we investigate the multiplicity of normalized solutions to the Choquard equation aligned - ² u+V (x) u= u+ ^- (I_ * F (u) ) f (u) in R^N, aligned - ε 2 Δ u + V (x) u = λ u + ε - α (I α ∗ F (u) ) f (u) in R N, subject to the prescribed mass constraint aligned ₑN|u|²\, dx=a² N, aligned ∫ R N | u | 2 d x = a 2 ε N, where, a> 0 ε, a > 0, (0, N) α ∈ (0, N), N 3 N ≥ 3, I_ I α denotes the Riesz potential, and the parameter R λ ∈ R
Meng et al. (Sat,) studied this question.