Multiple Normalized Solutions for L²-Mass Supercritical Choquard Equations Concentrating at a Potential Well

In this paper we investigate the multiplicity of normalized solutions to the Choquard equation aligned -ε ²Δ u+V( x)u=λ u+ε -α(I_α * F(u))f(u) in RN, 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 ∫ RN|u|²\,dx=a²ε N, aligned ∫ R N | u | 2 d x = a 2 ε N , where ε , a> 0 ε , a > 0 , α ∈ (0,N) α ∈ ( 0 , N ) , N≥ 3 N ≥ 3 , I_α I α denotes the Riesz potential, and the parameter λ ∈ R λ ∈ R