Existence and asymptotic behavior of positive solutions for an inhomogeneous semilinear elliptic equation

This paper is a contribution on the elliptic equation Δu+K(|x|)up+f(x)=0 where p>1,x∈Rn,n≥3,Δ=∑i=1n∂2∂xi2. The existence and asymptotic behaviors at ∞∞ and 0 of positive solutions are obtained under more general vanishing conditions for ff and KK.