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math.AP2024
Stable solutions of Yang-Mills-Higgs model in
Yong Liu, Juncheng Wei, Zikai Ye
We give a positive answer to the conjecture of Liu-Ma-Wei-Wu in \cite{LMWW} that the family of entire solutions to the -Yang-Mills-Higgs equation constructed by the gluing me…
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…