We consider in R3 the singularly perturbed Schrodinger-Poisson system ( -"2Δv + V (x)v + φ(x)v = f(v) -Δφ = v2: Using variational techniques, we construct solutions which concentrate around the saddle points of the external potential V , as " ! 0.
Concentration phenomena at saddle points of potential for schrödinger-poisson systems
Vilasi L.;
2021-01-01
Abstract
We consider in R3 the singularly perturbed Schrodinger-Poisson system ( -"2Δv + V (x)v + φ(x)v = f(v) -Δφ = v2: Using variational techniques, we construct solutions which concentrate around the saddle points of the external potential V , as " ! 0.File in questo prodotto:
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