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July/August 2011 On coupled systems of Schrödinger equations
Z. Chen, W. Zou
Adv. Differential Equations 16(7/8): 775-800 (July/August 2011).

Abstract

In this paper we study the following system of nonlinear Schrödinger equations: $$ \begin{cases}-\Delta u +u = f(x,u)+\lambda v, & x\in \mathbb R^N,\\ -\Delta v +v =g(x,v)+\lambda u, & x\in \mathbb R^N.\end{cases} $$ Under some assumptions on $f$ and $g$, we obtain the existence of positive ground and bound states of the coupled system for $\lambda \in (0, 1)$. More importantly, we will give more precise descriptions of the limit behavior and energy estimates of the bound states as $\lambda$ changes.

Citation

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Z. Chen. W. Zou. "On coupled systems of Schrödinger equations." Adv. Differential Equations 16 (7/8) 775 - 800, July/August 2011.

Information

Published: July/August 2011
First available in Project Euclid: 17 December 2012

zbMATH: 1232.35063
MathSciNet: MR2829504

Subjects:
Primary: 35J60, 35J91, 35J92, 35Q55, 58E30

Rights: Copyright © 2011 Khayyam Publishing, Inc.

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Vol.16 • No. 7/8 • July/August 2011
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