TY - JOUR
T1 - Semilinear Elliptic Equations with Singularity on the Boundary
JO - Journal of Partial Differential Equations
VL - 1
SP - 28
EP - 34
PY - 2002
DA - 2002/02
SN - 15
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5438.html
KW - Singularity
KW - semilinear equation
KW - positive solution
AB -  In this paper, we consider the existence and nonexistence of positive solutions to semilinear elliptic equation -Δu = K(x)(1-|x|)^{-λ_u^q} 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.