Wangzhe Wu

collaborators

3 papers

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 \[Δ^2 u=u^α\] 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 $v_{t} - Δ v - ∣ v ∣^{p - 1} v = 0$ and characterized the asymptotic behavior of $v$ near a singularity. In the proof, the…

math.AP2023

Liouville theorem for quasilinear elliptic equations in $R^{N}$

Wangzhe Wu, Qiqi Zhang

We prove Liouville theorem for the equation $Δ_{m} v + v^{p} + M ∣\nabla v ∣^{q} = 0$ in a domain $Ω \subset R^{n}$ , with $M \in R$ in the critical and subcritical case. As a…

Liouville theorem of the subcritical biharmonic equation on complete manifolds

A remark for characterizing blowup introduced by Giga and Kohn

Liouville theorem for quasilinear elliptic equations in RN

Liouville theorem for quasilinear elliptic equations in $R^{N}$