The second expansion of the unique vanishing at infinity solution to a singular elliptic equation

This paper is considered with the second expansion of the unique vanishing at infinity solution to −Δu=b(x)g(u),x∈RN(N≥3), where b∈C(RN) is nonnegative and may be supercritical attenuation or critical attenuation at infinity, g∈C1((0,∞),(0,∞)) is non-increasing on (0,∞) with lims→0+g(s)=∞ and g is normalized regularly varying at zero with index −γ(γ>1).