Singular homogeneous solution of the Lane-Emden equation
= Singular homogeneous solution of the Lane-Emden equation
{c}
When $a=2/(p-1)$ and $a<d-2$, the Lane-Emden equation has the singular scale-invariant solution
$$
u_\infty(r)=\bigl(a(d-2-a)\bigr)^{1/(p-1)}r^{-a}.
$$