Multiple bound states for the Schroedinger-Poisson problem

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Ground state solutions of Nehari-Pohozaev type for Schrödinger-Poisson problems with general potentials (2017, neutral): “43) Since wn ⇀ 0 in H (1)(R(3)) and wn → 0 in Lloc(R(3)) for s ∈ [2, 6), it follows from (F1), (F2), (2.”
On ground state solutions for the Schrödinger–Poisson equations with critical growth (2014, background): “Ambrosetti and Ruiz [6] obtained existence of multiple bound state solutions.”
Sign-changing radial solutions for the Schr\"odinger-Poisson-Slater problem (2011, background): “Precisely in [12, 20, 24] the existence of at least one nontrivial radial solution is proved while in [3] they show the existence of infinitely many radial solutions.”
Existence and asymptotic behavior of sign-changing solutions for the nonlinear Schrödinger–Poisson system in $${\mathbb{R}^3}$$R3 (2015, background): “1), we refer the readers to the papers [1,2,16,18] and the references therein.”