We perform a semiclassical analysis for the planar Schrödinger-Poisson system Equation Presented: (SPε) where ε is a positive parameter corresponding to the Planck constant and V is a bounded external potential. We detect solution pairs (uε, Eε) of the system (SPε) as ε → 0, leaning on a nongeneracy result in [3].

Bonheure, D., Cingolani, S., Secchi, S. (2021). Concentration phenomena for the Schrödinger-Poisson system in r2. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 14(5), 1631-1648 [10.3934/DCDSS.2020447].

Concentration phenomena for the Schrödinger-Poisson system in r2

Secchi S.
2021

Abstract

We perform a semiclassical analysis for the planar Schrödinger-Poisson system Equation Presented: (SPε) where ε is a positive parameter corresponding to the Planck constant and V is a bounded external potential. We detect solution pairs (uε, Eε) of the system (SPε) as ε → 0, leaning on a nongeneracy result in [3].
Articolo in rivista - Articolo scientifico
Logarithmic potential; Nonlocal nonlinearity; Schrödinger-Poisson system; Semiclassical solutions
English
2021
14
5
1631
1648
partially_open
Bonheure, D., Cingolani, S., Secchi, S. (2021). Concentration phenomena for the Schrödinger-Poisson system in r2. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. SERIES S, 14(5), 1631-1648 [10.3934/DCDSS.2020447].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/466820
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