Zikai Ye

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20222026

most citedOn Sharp Beckner's Inequality for Axially Symmetric Functions on

S^{4}

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math.AP2023

Complete metrics with constant fractional higher order $Q$ -curvature on the punctured sphere

João Henrique Andrade, Juncheng Wei, Zikai Ye

This manuscript is devoted to constructing complete metrics with constant higher fractional curvature on punctured spheres with finitely many isolated singularities. Analytically,…

math.AP2023

On Beckner's Inequality for Axially Symmetric Functions on $S^{6}$

Changfeng Gui, Tuoxin Li, Juncheng Wei +1

We prove that axially symmetric solutions to the $Q$ -curvature type problem $$ αP_6 u + 120(1-\frac{e^{6u}}{\int_{\mathbb{S}^6} e^{6u}})=0 \ \ \ \ \ \mbox{on} \ \mathbb{S}^6 $$ mus…

Complete metrics with constant fractional higher order Q-curvature on the punctured sphere

On Beckner's Inequality for Axially Symmetric Functions on S6

Complete metrics with constant fractional higher order $Q$ -curvature on the punctured sphere

On Beckner's Inequality for Axially Symmetric Functions on $S^{6}$