Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations

Jann Long Chern, Zhi You Chen, Yong Li Tang

研究成果: Article

2 引文 斯高帕斯(Scopus)

摘要

In this article, we are concerned with the semilinear elliptic equation δu + K(|x|)|u|p-1u = 0 in Rn \ {0}, where n > 2, p > 1, and K(|x|) > 0 in Rn. The correspondence between the initial values of regularly positive radial solutions of the above equation and the associated finite total curvatures will be derived. In addition, we also conduct the zeros of radial solutions in terms of the initial data under specific conditions on K and p. Furthermore, based on the Pohozaev identity and openness for the regions of initial data corresponding to certain types of solutions, we obtain the whole structure of radial solutions depending on various situations.

原文English
頁(從 - 到)3211-3231
頁數21
期刊Transactions of the American Mathematical Society
363
發行號6
DOIs
出版狀態Published - 2011 六月 1

All Science Journal Classification (ASJC) codes

  • Mathematics(all)
  • Applied Mathematics

指紋 深入研究「Uniqueness of finite total curvatures and the structure of radial solutions for nonlinear elliptic equations」主題。共同形成了獨特的指紋。

  • 引用此