Existence and Concentration of Ground States of Coupled Nonlinear Schr(o)dinger Equations with Bounded Potentials

O1; A 2-coupled nonlinear Schr(o)dinger equations with bounded varying potentials and strongly attractive interactions is considered.When the attractive interaction is strong enough,the existence of a ground state for sufficiently small Planck constant is proved.As the Planck constant approaches zer...

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Veröffentlicht in:数学年刊B辑(英文版) 2008, Vol.29 (3), p.247-264
1. Verfasser: Gongming WEI
Format: Artikel
Sprache:eng
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Zusammenfassung:O1; A 2-coupled nonlinear Schr(o)dinger equations with bounded varying potentials and strongly attractive interactions is considered.When the attractive interaction is strong enough,the existence of a ground state for sufficiently small Planck constant is proved.As the Planck constant approaches zero,it is proved that one of the components concentrates at a minimum point of the ground state energy function which is defined in Section 4.
ISSN:0252-9599