A Class Of Exact Boundary Of The Only Solutions Of Singular Elliptic Equations Dirichlet Problem Behavior,

LetΩbe a bounded domain with smooth boundary in R~N(N≥1). For moregeneral singularities g (which may be rapidly varying), we derive the boundary behaviorof solutions to a singular Dirichlet problem - u = b(x)g(u), u > 0, x∈Ω, u|(?)Ω= 0,where b∈C~α((Ω|ˉ)), is positive inΩ, may be vanishing on the boundary and rapidlyvarying near the boundary.