| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 843141 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 15 Pages |
Abstract
We prove the existence of solutions for the singularly perturbed Schrödinger–Newton system {ħ2Δψ−V(x)ψ+Uψ=0ħ2ΔU+4πγ|ψ|2=0in R3 with an electric potential VV that decays polynomially fast at infinity. The solution ψψ concentrates, as ħ→0ħ→0, around (structurally stable) critical points of the electric potential. As a particular case, isolated strict extrema of VV are allowed.
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Authors
Simone Secchi,