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math.AP2026
Free boundary regularity in obstacle problems with a degenerate forcing term
Yong Liu
In this paper, we consider the properties of a special free boundary point in the following obstacle problem: The Laplacian of u equals f(x) multiplied by the characteristic functi…
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…