C. Gui

activity

20092026

most citedThe sphere covering inequality and its dual

54 citations · 140 across the 31 of their papers we have counts for

collaborators

Showing 2026 · math.APShow all

3 papers · 2 filters

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

Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on $S^{2}$

Changfeng Gui, Amir Moradifam

In this paper, we establish symmetry results for solutions of the mean field equation \[ \fracα{2} Δu + e^u - 1 = 0 \] on $S^{2}$ for $\frac{1}{3} \leq α \leq 1$ , under a ge…

math.AP2026

Symmetry and critical points of second Neumann eigenfunctions on isosceles trapezoids and kites

Haiyun Deng, Changfeng Gui, Xuyong Jiang +3

We classify the symmetry and multiplicity of the second Neumann eigenvalue on isosceles trapezoids and kites as the height varies. Precisely, away from a unique transition height,…

Sharp Beckner's Inequalities for Axially Symmetric Functions on SN

Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on S2

Symmetry and critical points of second Neumann eigenfunctions on isosceles trapezoids and kites

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

Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on $S^{2}$