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    NCU Institutional Repository > 理學院 > 數學系 > 期刊論文 >  Item 987654321/51146


    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:[數學系] 期刊論文

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