Juncheng Wei

most citedStability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity

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math.AP2024

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

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…

math.AP2024★ 1 cited

Stability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity

Juncheng Wei, Yunze Wu

In this paper, we consider the following Caffarelli-Kohn-Nirenberg (CKN for short) inequality \begin{eqnarray*} \bigg(\int_{{\mathbb R}^d}|x|^{-b(p+1)}|u|^{p+1}dx\bigg)^{\frac{2}{p…

Stable solutions of U(1) Yang-Mills-Higgs model in R4

Stability of the Caffarelli-Kohn-Nirenberg inequality along Felli-Schneider curve: critical points at infinity

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