Biqiang Zhao

activity

20222026

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4 papers · 1 filter

math.DG2025

A Liouville theorem for the CR Yamabe type equation on Sasakian manifolds

Biqiang Zhao

In this paper, we study the CR Yamabe type equation \begin{align} Δ_b u+F(u)=0 \nonumber \end{align} on complete noncompact $(2 n + 1)$ -dimensional Sasakian manifolds with nonnegative…

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.AP2025

Liouville type results for semilinear elliptic equation and inequality on Sasakian manifolds

Biqiang Zhao

In this paper, we study the semilinear elliptic equation and inequality on Sasakian manifolds. First, we obtain Liouville theorems for the equation $Δ_{b} u + F (u) = 0$ based on a genera…

math.DG2025

On $\partial_{b}$ -harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds

Yuxin Dong, Hui Liu, Biqiang Zhao

In this paper, we consider maps from pseudo-Hermitian manifolds to Kähler manifolds and introduce partial energy functionals for these maps. First, we obtain a foliated Lichnerowic…

A Liouville theorem for the CR Yamabe type equation on Sasakian manifolds

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

Liouville type results for semilinear elliptic equation and inequality on Sasakian manifolds

On ∂b​-harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds

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

On $\partial_{b}$ -harmonic maps from pseudo-Hermitian manifolds to Kähler manifolds