Yanyan Li

activity

20232026

most citedLiouville theorems for conformally invariant fully nonlinear equations. I

1 citations · 2 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.AP2024

Liouville Theorem with Boundary Conditions from Chern--Gauss--Bonnet Formula

BaoZhi Chu, YanYan Li, Zongyuan Li

The $σ_{k} (A_{g})$ curvature and the boundary $B_{g}^{k}$ curvature arise naturally from the Chern--Gauss--Bonnet formula for manifolds with boundary. In this paper, we prove a L…

math.AP2024

On the fully nonlinear Yamabe problem with constant boundary mean curvature. I

BaoZhi Chu, YanYan Li, Zongyuan Li

In a recent paper, we established optimal Liouville-type theorems for conformally invariant second-order elliptic equations in the Euclidean space. In this work, we prove an optima…

math.AP2024

Conformal metrics of constant scalar curvature with unbounded volumes

Liuwei Gong, Yanyan Li

For $n \geq 25$ , we construct a smooth metric $g ~$ on the standard $n$ -dimensional sphere $S^{n}$ such that there exists a sequence of smooth metrics $\{\tilde{g}_k\}_…