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math.AP2023
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…
math.AP2023
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…