In the paper we consider the following quasilinear Schrödinger–Poisson system in the whole space R3 (Formula presented.) where 1<5,β>0,V:R3→]0,∞[, and look for solutions u,ϕ:R3→R in the semiclassical regime, namely when ε→0. By means of the Lyapunov–Schmidt method we estimate the number of solutions by the cup-length of the critical manifold of the external potential V.
Existence and Concentration of Semiclassical Bound States for a Quasilinear Schrodinger-Poisson System
Gaetano Siciliano
;
2024-01-01
Abstract
In the paper we consider the following quasilinear Schrödinger–Poisson system in the whole space R3 (Formula presented.) where 1<5,β>0,V:R3→]0,∞[, and look for solutions u,ϕ:R3→R in the semiclassical regime, namely when ε→0. By means of the Lyapunov–Schmidt method we estimate the number of solutions by the cup-length of the critical manifold of the external potential V.File in questo prodotto:
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