bounded states of one dimensional Schrodinger systems

MA Li

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bounded states of one dimensional Schrodinger systems

MA Li *

Department of mathematics,Henan Normal university, HeNan XinXiang 453007

*Correspondence author

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Funding: National Natural Science Foundation of China（No.11271111）, SRFDP foundation （No.20090002110019）

Opened online:15 November 2012

Accepted by: none

Citation: MA Li.bounded states of one dimensional Schrodinger systems[OL]. [15 November 2012] http://en.paper.edu.cn/en_releasepaper/content/4494481

In this paper, we study the existence problem of boundstates of one dimensional nonlinear Schrodinger system via theblow-up method. Our result shows that there is a close relationbetween the Liouville type theorem about linear Schrodinger equationand the existence of bounded positive solutions of nonlinearSchrodinger system on the whole real line.

Keywords:partialdifferential equation; nonlinear schrodinger system; bounded states

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