Existence and large time behaviour of finite points blow-up solutions of the fast diffusion equation

Kin Ming Hui, Sunghoon Kim

Let $\Omega \subset {\mathbb{R}}^n$ be a smooth bounded domain and let $a_1,a_2,\dots ,a_{i_0}\in \Omega$, $\hat{\Omega }=\Omega \setminus \{a_1,a_2,\dots ,a_{i_0}\}$ and $\widehat{R^n}=\R^n\setminus\{a_1,a_2,\dots,a…