Asymptotic behaviour of singular solution of the fast diffusion equation in the punctured Euclidean space

Kin Ming Hui, Jinwan Park

For $n\ge 3$, $0<m<\frac{n-2}{n}$, $\beta <0$ and $\alpha =\frac{2\beta }{1-m}$, we prove the existence, uniqueness and asymptotics near the origin of the singular eternal self-similar solutions o…