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math.AP2021★ 1 cited
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
In this article we present various uniqueness and existence results for Q-curvature type equations with a Paneitz operator on $\s^n$ in axially symmetric function spaces. In partic…
math.AP2021
Improved Beckner's inequality for axially symmetric functions on
Changfeng Gui, Yeyao Hu, Weihong Xie
We show that axially symmetric solutions on to a constant -curvature type equation (it may also be called fourth order mean field equation) must be constant, prov…
math.AP2021
A Sharp Inequality on the Exponentiation of Functions on the Sphere
Sun-Yung Alice Chang, Changfeng Gui
In this paper we show a new inequality which generalizes to the unit sphere the Lebedev-Milin inequality of the exponentiation of functions on the unit circle. It may also be regar…