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

数学物理学报(英文版) ›› 2000, Vol. 20 ›› Issue (1): 12-18.

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

耿堤

Department of Mathematics| Huanan Normal University, Guangzhou 510631, China

出版日期:2000-01-07 发布日期:2000-01-07

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

GENG Di

Department of Mathematics| Huanan Normal University, Guangzhou 510631, China

Online:2000-01-07 Published:2000-01-07

摘要/Abstract

摘要：

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.

关键词: Weighed Laplace operator, asymptotic behavior, critical exponents, the Greens function.

Abstract:

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

中图分类号:

35B50

耿堤. ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVING CRITICAL GROWTH[J]. 数学物理学报(英文版), 2000, 20(1): 12-18.

GENG Di. ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVING CRITICAL GROWTH[J]. Acta mathematica scientia,Series B, 2000, 20(1): 12-18.

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

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

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