Juncheng Wei

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math.AP2026

Global oscillatory solutions for the Yang-Mills heat flow

Yannick Sire, Juncheng Wei, Youquan Zheng +1

We investigate the long-time dynamics for the global solution of the $S O (4)$ -equivariant Yang-Mills heat flow (YMHF) with structure group $S U (2)$ in space dimension $4$ . For a clas…

math.AP2025

Finite time blow up solutions for heat equations with Neumann boundary conditions on $R_{+}^{4}$

Xiang Fang, Juncheng Wei, Youquan Zheng

We consider the nonlinear heat equations with Neumann boundary conditions $$ \begin{cases} u_{t}=Δu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x},…

math.AP2025

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations

Takafumi Akahori, Slim Ibrahim, Hiroaki Kikuchi +2

In this paper, we investigate positive radial solutions to double-power nonlinear stationary Schrodinger equations in three space dimensions. It is now known that the non-uniquenes…

Global oscillatory solutions for the Yang-Mills heat flow

Finite time blow up solutions for heat equations with Neumann boundary conditions on R+4​

Classification and qualitative properties of positive solutions to double-power nonlinear stationary Schrödinger equations

Finite time blow up solutions for heat equations with Neumann boundary conditions on $R_{+}^{4}$