Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (1): 181-193.doi: 10.1016/S0252-9602(11)60219-1

• Articles • Previous Articles     Next Articles

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)

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

CLC Number: 

  • 35J20
Trendmd