Biqiang Zhao

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.AP2025

Liouville type results for semilinear elliptic equation and inequality on pseudo-Hermitian manifolds

Biqiang Zhao

In this paper, we study the semilinear elliptic equation and inequality on pseudo-Hermitian manifolds. In particular, we first obtain a Liouville theorem for the equation $Δ_b u+F(…

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…

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

Liouville type results for semilinear elliptic equation and inequality on pseudo-Hermitian 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