Wenguo Liang

collaborators

3 papers

math.AP2026

Liouville-type theorems and universal estimates for semilinear elliptic equations involving the product of the function and its gradient

Wenguo Liang, Zhengce Zhang

In this paper, we study local and global properties of positive solutions to the equation $- Δ u = u^{p} ∣\nabla u ∣^{q}$ in a domain $Ω$ of $R^{N}$ , where $p$ and $q$ are parameters.…

math.AP2026

Gradient estimates and Liouville-type theorems for the semilinear elliptic equation involving the nonlinear gradient source

Wenguo Liang, Zhengce Zhang

We study local and global properties of positive solutions to the equation $- Δ u = u^{p} + M ∣\nabla u ∣^{q}$ in a domain $Ω$ of $R^{N}$ , where $p, q$ are parameters and $M > 0$ . By constr…

math.AP2024

A priori estimates and Liouville-type theorems for the semilinear parabolic equations involving the nonlinear gradient source

Wenguo Liang, Zhengce Zhang

This paper is concerned with the local and global properties of nonnegative solutions for semilinear heat equation $u_{t} - Δ u = u^{p} + M ∣\nabla u ∣^{q}$ in $Ω \times I \subset R^{N} \times R$ , w…