Stable solutions of $U(1)$ Yang-Mills-Higgs model in ${\mathbb{R}}^4$

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 $U(1)$-Yang-Mills-Higgs equation constructed by the gluing me…