SINGULAR SOLUTIONS OF AN INHOMOGENEOUS ELLIPTIC EQUATION

Abstract

The main purpose of the present paper is to study the asymptotic behavior near the origin of radial solutions of the equation

∆_{p}u(x)+u^{q}(x)+f(x)=0 in R^{N}\{0},

where p > 2, q > 1, N ≥ 1 and f is a continuous radial function on R^{N}\{0}. The study depends strongly of the sign of the function f and the asymptotic behavior near the origin of the function |x|^{λ}f(|x|) with suitable conditions on λ > 0.