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 − Δ u = b ( x ) g ( u ) , x ∈ R N ( N ≥ 3 ) , where b ∈ C ( R N ) is nonnegative and may be supercritical attenuation or critical attenuation at infinity, g ∈ C 1 ( ( 0 , ∞ ) , ( 0 , ∞ ) ) is non-increasing on ( 0 , ∞ ) with lim s → 0 + g ( s ) = ∞ and g is normalized regularly varying at zero with index − γ ( γ > 1 ) . [ABSTRACT FROM AUTHOR]