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

11 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
249
發行號12
DOIs
出版狀態已發佈 - 2010 十二月 15
對外發佈

ASJC Scopus subject areas

  • 分析
  • 應用數學

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