3 papers
math.AP2025
Uniqueness of critical points of the second Neumann eigenfunctions on triangles
Hongbin Chen, Changfeng Gui, Ruofei Yao
This paper investigates the second Neumann eigenfunction of a planar triangle . In a recent paper by Judge and Mondal [Ann. Math., 2022], it was shown that has no critic…
math.AP2025
A Generalization of the Sphere Covering Inequality
Changfeng Gui, Amir Moradifam
The Sphere Covering Inequality was introduced in \cite{GM} (\emph{Invent. Math.}, 2018) as a sharp geometric inequality that provides a lower bound for the total area of two distin…
math.AP2025
Interactions between Wind and Water Waves near Circular Flows
Changfeng Gui, Sicheng Liu
This manuscript concerns the dynamical interactions between wind and water waves, which are characterized through two-phase free interface problems for the Euler equations. We prov…