2 citations · 2 across the 2 of their papers we have counts for
3 papers
math.AP2025
Multi-bubble solutions for the Dirichlet problem of the -system with higher degree
Xiang Fang, Juncheng Wei, Youquan Zheng +1
We consider a Dirichlet problem of the -system \begin{equation*} \begin{cases} Δv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\ma…
math.AP2024
Co-existence of Type II blow-ups with multiple blow-up rates for five-dimensional heat equation with critical nonlinear boundary conditions
Juncheng Wei, Zikai Ye, Xiaoyu Zeng +1
We consider the following five-dimensional heat equation with critical boundary condition \begin{equation*} \partial_t u=Δu \mbox{ \ in \ } \mathbb{R}_+^5\times (0,T) , \quad -\par…
math.AP2023★ 2 cited
Finite-time singularity formation for the heat flow of the -system
Yannick Sire, Juncheng Wei, Youquan Zheng +1
We construct the first example of finite time blow-up solutions for the heat flow of the -system, describing the evolution of surfaces with constant mean curvature \begin{equati…