6 papers
On nonnegative solutions of the parabolic differential inequality with -Laplace on Riemannian manifolds
Biqiang Zhao
In this paper, we establish Liouville-type theorems for parabolic differential inequalities with Laplacian operator on Riemannian manifolds. By a test function argument, we…
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} Î_b u+F(u)=0 \nonumber \end{align} on complete noncompact -dimensional Sasakian manifolds with nonnegativ…
On nonnegative solutions of the differential inequality on Riemannian manifolds
Biqiang Zhao
In this paper, we are concerned with differential inequalities with -Laplacian operator on Riemannian manifolds. Using a test function argument, we establish Liouville-type…
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 $Î_b u+F…
Liouville theorem for the inequality on Riemannian manifolds
Biqiang Zhao
In this paper, we study the quasilinear inequality on a complete Riemannian manifold, where \begin{align*} m>1,α>m-1 \quad and \quad f(t)> 0,αf(t)-tf^{'}(t)\…
On -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 Lichnerowi…