Boundary Behavior Of Blow-up Solutions For Non-divergence Structure Nonlinear Elliptic Equations

In this paper,we study the asymptotic behaviour of solutions u near the boundary(?)? with boundary blow-up nonlinear elliptic problem for the following form N N where.?(?)RN(N ? 2)is a bounded domain with smooth boundary,L is a non-divergence structure,uniformly elliptic operator.The weight k is a continuous non-negative function on ? and f is a continuous non-decreasing function which satisfies the Keller-Osserman condition.We show that the asymptotic behaviour of solutions u near the boundary(?)? by a perturbation methods,Karamata regular variation theory,comparison principle and constructing appropriate super-solutions and sub-solutions,under further assumptions on f and k.