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

This paper is a contribution on the elliptic equation View the MathML sourceΔu+K(|x|)up+f(x)=0 where View the MathML sourcep>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.