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

collaborators

Showing 2023Show all

4 papers · 1 filter

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…

math.AP2023

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 $- Δ v = v^{p} ∣\nabla v ∣^{q}$ in $R^{n}$ , which was studied by Bidaut-Véron, García-Huidobro, and Véron. The proof is based on a…

math.AP2023★ 1 cited

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 $Δ v + N v^{p} + M ∣\nabla v ∣^{q} = 0$ in $R^{n}$ , with $M, N > 0, q = \frac{2 p}{p + 1}$ in the critical and subcritical case. The pro…

math.AP2023

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 $Δ U + b \cdot \nabla U + h U^{α} = 0, U \geq 0, 0 < α < \frac{n + 2}{n - 2}$ on the complete Riemannian manifold…

Liouville theorem for quasilinear elliptic equations in RN

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 quasilinear elliptic equations in $R^{N}$

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 $R^{n}$