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| Existence and Concentration of Ground States of Coupled Nonlinear Schr¨odinger Equations with Bounded Potentials |
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Citation： |
Gongming WEI.Existence and Concentration of Ground States of Coupled Nonlinear Schr¨odinger Equations with Bounded Potentials[J].Chinese Annals of Mathematics B,2008,29(3):247~264 |
| Page view： 1272
Net amount： 1180 |
Authors： |
Gongming WEI; |
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| Abstract： |
A 2-coupled nonlinear Schr¨odinger 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. |
Keywords： |
Concentration, Nehari’s manifold, Critical point theory, Concentrationcompactness principle |
Classification： |
35B25, 35J50, 35Q40 |
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