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Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

Existence and instability of standing waves with prescribed norm for a class of Schrödinger-Poisson equations

In this paper, we study the existence and the instability of standing waves with prescribed L2-norm for a class of Schrödinger–Poisson–Slater equations in ℝ3 ( * ) i ψ t + Δ ψ − ( | x | − 1 * | ψ | 2 ) ψ + | ψ …