Wangzhe Wu

activity

20242026

collaborators

6 papers

math.AP2026

Liouville Rigidity for Entire Strictly Spacelike Solutions of 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.AP2025

Liouville theorem of the subcritical biharmonic equation on complete manifolds

Xi-Nan Ma, Tian Wu, Wangzhe Wu

In this paper, we study the subcritical biharmonic equation \[Î^2 u=u^Î±\] on a complete, connected, and non-compact Riemannian manifold $(M^{n}, g)$ with nonnegative Ricci curvature…

math.AP2025

A remark for characterizing blowup introduced by Giga and Kohn

Wangzhe Wu

Giga and Kohn studied the blowup solutions for the equation $v_{t} - I^ v - ∣ v ∣^{p - 1} v = 0$ and characterized the asymptotic behavior of $v$ near a singularity. In the proof, th…

math.AP2024

Liouville theorem for elliptic equations with a source reaction term involving the product of the function and its gradient in $R^{n}$

Xi-Nan Ma, Wangzhe Wu

We improve the Liouville theorem for the equation $- I^ v = v^{p} ∣\nabla v ∣^{q}$ in $R^{n}$ , which was studied by Bidaut-VÃ©ron, GarcÃa-Huidobro, and VÃ©ron. The proof is based o…

math.AP2024

Liouville theorem for elliptic equations involving the sum of the function and its gradient in $R^{n}$

Xi-Nan Ma, Wangzhe Wu, Qiqi Zhang

We prove Liouville theorem for the equation $I^ v + N v^{p} + M ∣\nabla v ∣^{q} = 0$ in $R^{n}$ , with $M, N > 0, q = \frac{2 p}{p + 1}$ in the critical and subcritical case. The pr…

math.AP2024

Liouville theorem for one kind of elliptic equations on complete Riemannian manifold

Wangzhe Wu

We use maximum principle to prove the Liouville theorem of the equation $I^ U + b \cdot \nabla U + h U^{I^} \pm = 0, U \geq 0, 0 < I^\pm < \frac{n + 2}{n - 2}$ on the complete Riemannian manif…

Liouville Rigidity for Entire Strictly Spacelike Solutions of a Lorentzian Prescribed Mean Curvature Equation

Liouville theorem of the subcritical biharmonic equation on complete manifolds

A remark for characterizing blowup introduced by Giga and Kohn

Liouville theorem for elliptic equations with a source reaction term involving the product of the function and its gradient in Rn

Liouville theorem for elliptic equations involving the sum of the function and its gradient in Rn

Liouville theorem for one kind of elliptic equations on complete Riemannian manifold

Liouville theorem for elliptic equations with a source reaction term involving the product of the function and its gradient in $R^{n}$

Liouville theorem for elliptic equations involving the sum of the function and its gradient in $R^{n}$