SEMILINEAR ELLIPTIC EQUATIONS WITH SINGULARITY ON THE BOUNDARY

摘要

In this paper, we consider the existence and nonexistence of positive solutions to semilinear elliptic equation -Δu = K(x)(1 - |x|)-λuq in the unit ball B with 0-Dirichlet boundary condition. Our main tools are based on the interior estimates of the Schauder type, the Schauder fixed point theorem and the pointwise estimates for Green functions.