Removable singularity of the polyharmonic equation

Shu-Yu Hsu

Let $x_0\in \Omega \subset {\mathbb{R}}^n$, $n\ge 2$, be a domain and let $m\ge 2$. We will prove that a solution $u$ of the polyharmonic equation ${\Delta }^{m}u=0$ in $\Omega \setminus \{x_0\}$ has a removabl…