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ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVINGCRITICAL GROWTH

ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVING CRITICAL GROWTH
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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. 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.
作者 耿堤
出处 《Acta Mathematica Scientia》 SCIE CSCD 2000年第1期12-18,共7页 数学物理学报(B辑英文版)
关键词 weighed Laplace operator asymptotic behavior critical exponents the Green's function weighed Laplace operator asymptotic behavior critical exponents the Green's function
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参考文献7

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