54 citations · 140 across the 31 of their papers we have counts for
30 papers · 1 filter
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…
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…
On smooth interior approximation of Sets of Finite Perimeter
Changfeng Gui, Yeyao Hu, Qinfeng Li
In this paper, we prove that for any bounded set of finite perimeter , we can choose smooth sets such that in and \…