C. Gui

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math.AP2026

Sharp Beckner's Inequalities for Axially Symmetric Functions on $S^{N}$

Changfeng Gui, Tuoxin Li, Juncheng Wei +1

We prove that for every integer $N \geq 3$ and $α \geq \frac{1}{2}$ , 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.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 $u$ with respect to the symmetry axis or symmetry center of the relevant domain $Q$ …

Sharp Beckner's Inequalities for Axially Symmetric Functions on SN

Critical points of the second Neumann eigenfunctions on the quadrangles with symmetry

Sharp Beckner's Inequalities for Axially Symmetric Functions on $S^{N}$