Precise Asymptotic Behavior Of The Two Types Of Singular Nonlinear Elliptic Equations, Dirichlet Problem For A Unique Solution

LetΩbe a bounded domain with smooth boundary in RN(N≥1). First, by anonlinear transformation, a perturbation method and a comparison principle, we de-rive the exact boundary behavior of solution to a singular nonlinear elliptic Dirichletproblem . Then, applying the resultand a nonlinear transformation, we derive the exact boundary behavior of solution toanother singular semilinear elliptic Dirichlet problem under the new structure conditions on g, where h∈C((0,∞), (0,∞)) and the weight b is positive in and may be vanishing or properlyblow up on the boundary;...