Changfeng Gui

most citedImproved Beckner's inequality for axially symmetric functions on

S^{n}

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math.AP2021★ 1 cited

Improved Beckner's inequality for axially symmetric functions on $S^{n}$

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 $S^{4}$

Changfeng Gui, Yeyao Hu, Weihong Xie

We show that axially symmetric solutions on $S^{4}$ to a constant $Q$ -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…

Improved Beckner's inequality for axially symmetric functions on Sn

Improved Beckner's inequality for axially symmetric functions on S4

A Sharp Inequality on the Exponentiation of Functions on the Sphere

Improved Beckner's inequality for axially symmetric functions on $S^{n}$

Improved Beckner's inequality for axially symmetric functions on $S^{4}$