2 papers
math.AP2025
Finite time blow up solutions for heat equations with Neumann boundary conditions on
Xiang Fang, Juncheng Wei, Youquan Zheng
We consider the nonlinear heat equations with Neumann boundary conditions $$ \begin{cases} u_{t}=Îu & \text{in}\ \mathbb{R}_{+}^{4} \times(0, T) ,\\ -\frac{d u}{d x_{4}}(\tilde{x}…
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} Îv = 2v_x\wedge v_y ~& \text{ in }\mathcal{D},\\ v=\varepsilon \tilde g ~& \text{ on }\partial{\m…