5 papers · 1 filter
Nonexistence of solutions to on geodesically complete noncompact Riemannian manifolds
Biqiang Zhao
In this paper, we consider the inequality on geodesically complete noncompact Riemannian manifolds. By a test function argument, we establish Liou…
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…
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 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)\geq…
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 based on a genera…