Wangzhe Wu

activity

20222026

most citedLiouville theorem for elliptic equations involving the sum of the function and its gradient in

R^{n}

1 citations · 1 across the 12 of their papers we have counts for

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math.DG2026

Rigidity of conformal metrics with constant sixth-order $Q$ -curvature

Daowen Lin, Wangzhe Wu

Let $(M^{n}, g_{0})$ be a closed connected Einstein manifold with positive scalar curvature, where $n \geq 6$ . Using an Obata-type identity, we prove that every smooth metric conformal to…

math.DG2026

A sharp threshold for mixed $Q$ -curvature rigidity

Wangzhe Wu

We resolve Case's question (Crelle's Journal, 2024) on the sharp lower threshold for Obata-type rigidity of $I_{a} = Q + a σ_{2} (A)$ in positive Einstein conformal classes of dimension $n\g…

math.DG2026

Rigidity, sharp inequalities, and stability for $σ_{2}$ -curvature by a reference curvature technique

Wangzhe Wu

Using a reference-curvature technique, we prove four main theorems. (i) For $n \geq 4$ , we remove the mean-curvature pinching from the Case-Wang rigidity theorem for $σ_{2}$ -flat confo…

math.AP2026

Liouville Rigidity and Universal Spacelikeness Estimates for a Lorentzian Prescribed Mean Curvature Equation

Xi-Nan Ma, Tian Wu, Wangzhe Wu +1

We prove a Liouville theorem for nonnegative entire strictly spacelike solutions of \[ \operatorname{div}\left(\frac{\nabla u}{\sqrt{1-|\nabla u|^2}}\right)+u^p=0 \qquad\text{in }\…

math.AP2026

Beyond the $L^{9/5}$ Vorticity Criterion in the Stationary Navier--Stokes Liouville Problem

Wangzhe Wu

Let $(v, p)$ be a smooth stationary Navier--Stokes solution in $R^{3}$ with $v (x) \to 0$ as $∣ x ∣ \to \infty$ . We prove that $v \equiv 0$ if its vorticity $ω := \nabla \times v$ belong…

Rigidity of conformal metrics with constant sixth-order Q-curvature

A sharp threshold for mixed Q-curvature rigidity

Rigidity, sharp inequalities, and stability for σ2​-curvature by a reference curvature technique

Liouville Rigidity and Universal Spacelikeness Estimates for a Lorentzian Prescribed Mean Curvature Equation

Beyond the L9/5 Vorticity Criterion in the Stationary Navier--Stokes Liouville Problem

Rigidity of conformal metrics with constant sixth-order $Q$ -curvature

A sharp threshold for mixed $Q$ -curvature rigidity

Rigidity, sharp inequalities, and stability for $σ_{2}$ -curvature by a reference curvature technique

Beyond the $L^{9/5}$ Vorticity Criterion in the Stationary Navier--Stokes Liouville Problem