Semi-classical standing waves for nonlinear Schrödinger equations at structurally stable critical points of the potential

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Infinitely many positive solutions for nonlinear equations with non-symmetric potentials (2012, background): “…semi-classical problem: ε2∆u− V (y)u+ up = 0, u > 0, lim |y|→+∞ u(y) = 0, (1.4) where ε > 0 is a small parameter and p subcritical, then the number of the critical points of V (y) (see for example [1, 36],[17]–[20],[23, 36, 45]), the type of the critical points of V (y) (see for example [8, 26,…”
Existence and Concentration Result for the Kirchhoff Type Equations with General Nonlinearities (2014, unknown): “For instance, we refer to [5–7,20,21,25– 27,33,44,48,54,55].”
Choquard-type equations with Hardy–Littlewood–Sobolev upper-critical growth (2018, background): “7) under (V2) and the almost optimal Berestycki-Lions conditions [6], see also [9, 11, 12] and [65, 68].”