数学物理学报(英文版) ›› 2011, Vol. 31 ›› Issue (1): 181-193.doi: 10.1016/S0252-9602(11)60219-1

• 论文 • 上一篇    下一篇

SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION

杨芬, 张丹丹   

  1. College of Science, Wuhan University of Science and Technology, Wuhan 430081, China| Department of Mathematics, Xiangfan University, |Xiangfan 441053, China
  • 收稿日期:2008-02-28 修回日期:2009-04-10 出版日期:2011-01-20 发布日期:2011-01-20
  • 基金资助:

    Supported by the Natural Science Foundation of China (10901126)

SEPARATION PROPERTY OF POSITIVE RADIAL SOLUTIONS FOR A GENERAL SEMILINEAR ELLIPTIC EQUATION

 YANG Fen, ZHANG Dan-Dan   

  • Received:2008-02-28 Revised:2009-04-10 Online:2011-01-20 Published:2011-01-20
  • Supported by:

    Supported by the Natural Science Foundation of China (10901126)

摘要:

The asymptotic behavior at infinity and an estimate of positive radial solutions of the equation 

Δu +∑ki=1cirliupi = 0, x ∈Rn, (0.1)

are obtained and the structure of separation property of positive radial solutions of Eq. (0.1) with different initial data α is  discussed.

关键词: Asymptotic behavior, separation property, semilinear elliptic equation

Abstract:

The asymptotic behavior at infinity and an estimate of positive radial solutions of the equation 

Δu +∑ki=1cirliupi = 0, x ∈Rn, (0.1)

are obtained and the structure of separation property of positive radial solutions of Eq. (0.1) with different initial data α is  discussed.

Key words: Asymptotic behavior, separation property, semilinear elliptic equation

中图分类号: 

  • 35J20