Acta mathematica scientia,Series B ›› 2000, Vol. 20 ›› Issue (1): 12-18.

• Articles • Previous Articles     Next Articles

ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVING CRITICAL GROWTH

 GENG Di   

  1. Department of Mathematics| Huanan Normal University, Guangzhou 510631, China
  • Online:2000-01-07 Published:2000-01-07

Abstract:

A general weighted second order elliptic equation involving critical growth is considered on bounded smooth domain in n-dimension space. There is the singular point for the weighted coefficients in the domain. With generalized blow up method, some results are obtained for asymptotic behavior of positive solutions. This problem includes Laplacian operators as special cases.

Key words: Weighed Laplace operator, asymptotic behavior, critical exponents, the Greens function.

CLC Number: 

  • 35B50
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