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

Zhi-You Chen, Jann Long Chern, Junping Shi, Yong Li Tang

研究成果: Article

10 引文 (Scopus)

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 Schrödinger 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.

原文English
頁(從 - 到)3419-3442
頁數24
期刊Journal of Differential Equations
249
發行號12
DOIs
出版狀態Published - 2010 十二月 15

指紋

Ground State Solution
Nonlinear Elliptic Systems
Shooting
Elliptic Systems
Stationary States
Existence and Uniqueness of Solutions
Nonlinear equations
Coupled System
Ground state
Dirichlet Problem
Nonexistence
Nonlinear Equations
Ball
Uniqueness
Nonlinearity

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

引用此文

Chen, Zhi-You ; Chern, Jann Long ; Shi, Junping ; Tang, Yong Li. / On the uniqueness and structure of solutions to a coupled elliptic system. 於: Journal of Differential Equations. 2010 ; 卷 249, 編號 12. 頁 3419-3442.
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On the uniqueness and structure of solutions to a coupled elliptic system. / Chen, Zhi-You; Chern, Jann Long; Shi, Junping; Tang, Yong Li.

於: Journal of Differential Equations, 卷 249, 編號 12, 15.12.2010, p. 3419-3442.

研究成果: Article

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N2 - 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 Schrödinger 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.

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