Solution
= Solution
For radial <functions>, $\nabla^2h=h''+2h'/r$. Since $\nabla^2e^{-r}=e^{-r}-2e^{-r}/r$ and $\nabla^2r^{-4}=12r^{-6}$, decay and the boundary value give
$$
\boxed{u=e^{-r}+r^{-4}-\frac{e^{-1}}r.}
$$
= Solution
For radial <functions>, $\nabla^2h=h''+2h'/r$. Since $\nabla^2e^{-r}=e^{-r}-2e^{-r}/r$ and $\nabla^2r^{-4}=12r^{-6}$, decay and the boundary value give
$$
\boxed{u=e^{-r}+r^{-4}-\frac{e^{-1}}r.}
$$