K. M. Hui

activity

20082025

most citedGlobal and touchdown behaviour of the generalized MEMS device equation

5 citations · 18 across the 25 of their papers we have counts for

collaborators

Showing 2025 · math.APShow all

2 papers · 2 filters

math.AP2025

Asymptotic large time behavior of singular entire solutions of the fast diffusion equation

Kin Ming Hui, Jongmyeong Kim

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $α = \frac{2 β - 1}{1 - m}$ and $\frac{2}{1 - m} < \frac{α}{β} < \frac{n - 2}{m}$ . We give a new direct proof using fixed point method on the existence of singular…

math.AP2025

A matching construction of self-similar profiles for the fast diffusion equation

Kin Ming Hui

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $η > 0$ , $η_{0} > 0$ , $ρ_{1} > 0$ , $β_{-} (ρ_{1}) = - \frac{ρ _{1}}{2}$ , $β_{+} (ρ_{1}) = \frac{m ρ _{1}}{n - 2 - nm}$ and $α = \frac{2 β + ρ _{1}}{1 - m}$ . For any $β_{-} (ρ_{1}) \leq β \leq β_{+} (ρ_{1})$ ,…