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

Please use this identifier to cite or link to this item: http://ir.lib.ncu.edu.tw/handle/987654321/51146

Title:	On the uniqueness and structure of solutions to a coupled elliptic system
Authors:	Chen,ZY;Chern,JL;Shi,JP;Tang,YL
Contributors:	數學系
Keywords:	NONLINEAR SCHRODINGER-EQUATIONS;POSITIVE SOLUTIONS;EXACT MULTIPLICITY;GROUND-STATE;BOUND-STATES;SYMMETRY;EXISTENCE;WAVES
Date:	2010
Issue Date:	2012-03-27 18:23:15 (UTC+8)
Publisher:	國立中央大學
Abstract:	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.
Relation:	JOURNAL OF DIFFERENTIAL EQUATIONS
Appears in Collections:	[Department of Mathematics] journal & Dissertation

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