A note on the positive solutions of an inhomogeneous elliptic equation on RnRn

This paper is contributed to the elliptic equationequation(0.1)Δu+K(|x|)up+μf(|x|)=0,Δu+K(|x|)up+μf(|x|)=0, where p>1p>1, x∈Rnx∈Rn, n⩾3n⩾3, Δ=∑i=1n∂2∂xi2 and μ⩾0μ⩾0 is a constant. We study the structure of positive radial solutions of (0.1) and obtain the uniqueness of solution decaying faster than r−mr−m at ∞ if μ is small enough under some assumptions on K and f, where m is the slow decay rate.