3 papers
math.AP2026
Sharp Beckner's Inequalities for Axially Symmetric Functions on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that for every integer and , Beckner's inequality \begin{equation*} \fracα{2}\int_{\mathbb{S}^N}u(P_{N}u) dw+(N-1)!\int_{\mathbb{S}^N}u dw-\fr…
math.DG2026
Sharp weighted Carleman and Huber isoperimetric inequalities on the unit ball in higher dimensions
Zhijie Chen, Changfeng Gui, Shihong Zhang
In this paper, using a limiting approach, we establish a new type of weighted Carleman inequality in all dimensions and classify all extremal functions. In particular, wh…
math.AP2026
Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry
Haiyun Deng, Changfeng Gui, Xuyong Jiang +3
In this paper, we focus primarily on the symmetry properties of the second Neumann eigenfunction with respect to the symmetry axis or symmetry center of the relevant domain …