Biqiang Zhao

activity

20232025

collaborators

3 papers

math.AP2025

Liouville theorem for the inequality $Δ_{m} u + f (u) \leq 0$ on Riemannian manifolds

Biqiang Zhao

In this paper, we study the quasilinear inequality $Δ_{m} u + f (u) \leq 0$ on a complete Riemannian manifold, where \begin{align*} m>1,α>m-1 \quad and \quad f(t)> 0,αf(t)-tf^{'}(t)\geq…

math.DG2024

Gradient estimates for $Δ_{b} u + a u^{p + 1} = 0$ on pseudo-Hermitian manifolds

Biqiang Zhao

In this paper, we derive the gradient estimates for the positive solutions of the equation $Δ_{b} u + a u^{p + 1} = 0$ on complete noncompact pseudo-Hermitian manifolds, where $a > 0$ a…

math.DG2023

Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds

Yuxin Dong, Yibin Ren, Biqiang Zhao

In this paper, we derive local and global Li-Yau type gradient estimates for the positive solutions of the CR heat equation on complete noncompact pseudo-Hermitian manifolds. As ap…

Liouville theorem for the inequality Δm​u+f(u)≤0 on Riemannian manifolds

Gradient estimates for Δb​u+aup+1=0 on pseudo-Hermitian manifolds

Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds

Liouville theorem for the inequality $Δ_{m} u + f (u) \leq 0$ on Riemannian manifolds

Gradient estimates for $Δ_{b} u + a u^{p + 1} = 0$ on pseudo-Hermitian manifolds