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

26 papers

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 $β_{-} (ρ_{1}) \leq β \leq β_{+} (ρ_{1})$ ,…

math.AP2023

Existence and uniqueness of the singular self-similar solutions of the fast diffusion equation and logarithmic diffusion equation

Kin Ming Hui

Let $n \geq 3$ , $0 < m < \frac{n - 2}{n}$ , $ρ_{1} > 0$ , $η > 0$ , $β > \frac{m ρ _{1}}{n - 2 - nm}$ , $α = α_{m} = \frac{2 β + ρ _{1}}{1 - m}$ , $β_{0} > 0$ and $α_{0} = 2 β_{0} + 1$ . We use fixed point argument to give a new proof fo…

math.AP2022

Nonnegative solutions of the heat equation in a cylindrical domain and Widder's theorem

Kin Ming Hui, Kai-Seng Chou

It is shown every nonnegative solution of the heat equation in a bounded cylindrical domain has an integral representation in terms of a trace triple consisting of a bottom trace,…

math.DG2021★ 3 cited

Existence of singular rotationally symmetric gradient Ricci solitons in higher dimensions

Kin Ming Hui

By using fixed point argument we give a proof for the existence of singular rotationally symmetric steady and expanding gradient Ricci solitons in higher dimensions with metric $g=…

math.AP2020

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

Kin Ming Hui, Jinwan Park

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