ASYMPTOTICS FOR POSITIVE SOLUTIONS OF THE WEIGHTED LAPLACE EQUATIONS INVOLVINGCRITICAL GROWTH

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 thc domaln. With generalized blow up method, some results are obtained for asymptotic behavior of positive solutions. This problem includes Laplacian operators as special cases.