On the uniqueness and structure of solutions to a coupled elliptic system

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题名:	On the uniqueness and structure of solutions to a coupled elliptic system
作者:	Chen,ZY;Chern,JL;Shi,JP;Tang,YL
贡献者:	數學系
关键词:	NONLINEAR SCHRODINGER-EQUATIONS;POSITIVE SOLUTIONS;EXACT MULTIPLICITY;GROUND-STATE;BOUND-STATES;SYMMETRY;EXISTENCE;WAVES
日期:	2010
上传时间:	2012-03-27 18:23:15 (UTC+8)
出版者:	國立中央大學
摘要:	In this paper, we consider a nonlinear elliptic system which is an extension of the single equation derived by investigating the stationary states of the nonlinear Schrodinger equation. We establish the existence and uniqueness of solutions to the Dirichlet problem on the ball. In addition, the nonexistence of the ground state solutions under certain conditions on the nonlinearities and the complete structure of different types of solutions to the shooting problem are proved. (C) 2010 Elsevier Inc. All rights reserved.
關聯:	JOURNAL OF DIFFERENTIAL EQUATIONS
显示于类别:	[數學系] 期刊論文

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