Existence of Neumann and singular solutions of the fast diffusion equation

Kin Ming Hui, Sunghoon Kim

Let $\Omega$ be a smooth bounded domain in ${\mathbb{R}}^n$, $n\ge 3$, $0<m\le \frac{n-2}{n}$, $a_1,a_2,...,a_{i_0}\in \Omega$, $δ_0=\min_{1\le i\le i_0}{dist }(a_i,\1Ω)$ and let $Ω_δ=Ω\setminus\cup_{i…