54 citations · 140 across the 31 of their papers we have counts for
32 papers
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…
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…
Symmetry and Rigidity Results for the Mean Field Equation and Hawking Mass on
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 for , under a ge…
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,…
Rigidity of Steady Solutions to the Navier-Stokes Equations in High Dimensions and its applications
Jeaheang Bang, Changfeng Gui, Hao Liu +2
Solutions with scaling-invariant bounds such as self-similar solutions, play an important role in the understanding of the regularity and asymptotic structures of solutions to the…
On Beckner's Inequality for Axially Symmetric Functions on
Changfeng Gui, Tuoxin Li, Juncheng Wei +1
We prove that axially symmetric solutions to the -curvature type problem $$ αP_6 u + 120(1-\frac{e^{6u}}{\int_{\mathbb{S}^6} e^{6u}})=0 \ \ \ \ \ \mbox{on} \ \mathbb{S}^6 $$ mus…