A nonlinear superposition principle and multibump solutions of periodic Schrödinger equations

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Positive solutions of an asymptotically periodic Schrödinger–Poisson system with critical exponent☆ (2016, background): “1) was studied in [13] and existence of infinitely many geometrically distinct solutions was proved by a superposition principle established in [14].”
On ground state solutions for the Schrödinger–Poisson equations with critical growth (2014, methodology): “Consider the family of C functionals on X Iδ = A(u)− δB(u), ∀δ ∈ J, with B nonnegative and either A(u) → +∞ or B(u) → +∞ as ∥u∥ → ∞ and we assume that there are two points v1, v2 in X such that, for any δ ∈ J , cδ = inf γ∈Γ max s∈[0,1] Iδ(γ(s)) > max{Iδ(v1), Iδ(v2)}, (4.”
The method of Nehari manifold (2010, unknown): “[1, 13, 38, 39] (and [2] for a related finite-dimensional reduction).”