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

Zhi You Chen; Jann Long Chern; Junping Shi; Yong Li Tang

doi:10.1016/j.jde.2010.09.001

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

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

^*此作品的通信作者

研究成果: 雜誌貢獻 › 期刊論文 › 同行評審

12 引文斯高帕斯（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	英語
頁（從 - 到）	3419-3442
頁數	24
期刊	Journal of Differential Equations
卷	249
發行號	12
DOIs	https://doi.org/10.1016/j.jde.2010.09.001
出版狀態	已發佈 - 2010 12月 15
對外發佈	是

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10.1016/j.jde.2010.09.001

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title = "On the uniqueness and structure of solutions to a coupled elliptic system",

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 Schr{\"o}dinger 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.",

author = "Chen, {Zhi You} and Chern, {Jann Long} and Junping Shi and Tang, {Yong Li}",

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AU - Tang, Yong Li

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Y1 - 2010/12/15

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.

AB - 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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JO - Journal of Differential Equations

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

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ASJC Scopus subject areas

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