6 papers · 1 filter
Sharp gradient estimates on weighted manifolds with compact boundary
Ha Tuan Dung, Nguyen Thac Dung, Jia-Yong Wu
In this paper, we prove sharp gradient estimates for positive solutions to the weighted heat equation on smooth metric measure spaces with compact boundary. As an application, we p…
Gradient estimates for weighted harmonic function with Dirichlet boundary condition
Nguyen Thac Dung, Jia-Yong Wu
We prove a Yau's type gradient estimate for positive -harmonic functions with the Dirichlet boundary condition on smooth metric measure spaces with compact boundary when the inf…
Gradient estimates for weighted -Laplacian equations on Riemannian manifolds with a Sobolev inequality and integral Ricci bounds
Le Van Dai, Nguyen Thac Dung, Nguyen Dang Tuyen +1
In this paper, we consider the non-linear general -Laplacian equation for a smooth function on smooth metric measure spaces. Assume that a Sobolev inequali…
Sharp gradient estimates for a heat equation in Riemannian manifolds
Ha Tuan Dung, Nguyen Thac Dung
In this paper, we prove sharp gradient estimates for a positive solution to the heat equation in complete noncompact Riemannian manifolds. As its application, we…
Gradient estimates and Liouville type theorems for Poisson equations
Nguyen Thac Dung, Nguyen Ngoc Khanh
In this paper, we will address to the following parabolic equation on a smooth metric measure space with Bakry-Émery curvature bounded from below. Here is…
Stable minimal hypersurfaces in a Riemannian manifold with pinched negative sectional curvature
Nguyen Thac Dung, Keomkyo Seo
We give an estimate of the first eigenvalue of the Laplace operator on a complete noncompact stable minimal hypersurface in a complete simply connected Riemannian manifold with…