4 citations · 14 across the 21 of their papers we have counts for
21 papers
The Dirichlet problem for mixed Hessian equations on Hermitian manifolds
Qiang Tu, Ni Xiang
In this paper we study the Dirichlet problem for a class of Hessian type equation with its structure as a combination of elementary symmetric functions on Hermitian manifolds. Unde…
A class of Hessian quotient equations in the warped product manifold
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider a class of Hessian quotient equations in the warped product manifold . Under some sufficient conditions, we obtain an existence…
The Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider the Dirichlet problem for a class of Hessian quotient equations on Riemannian manifolds. Under the assumption of an admissible subsolution, we solve the…
Smooth solutions to the Gauss image problem
Li Chen, Di Wu, Ni Xiang
In this paper we study the the Gauss image problem, which is a generalization of the Aleksandrov problem in convex geometry. By considering a geometric flow involving Gauss curvatu…
Existence of smooth even solutions to the dual Orlicz-Minkowski problem
Li Chen, YanNan Liu, Jian Lu +1
In this paper we study the dual Orlicz-Minkowski problem, which is a generalization of the dual Minkowski problem in convex geometry. By considering a geometric flow involving Gaus…
A Class of Hessian quotient equations in Euclidean space
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider a Class of Hessian quotient equations in Euclidean space. Under some sufficient condition, we obtain an existence result by the standard degree theory ba…
The Neumann problem for a class of mixed complex Hessian equations
Chuan-Qiang Chen, Li Chen, Ni Xiang
In this paper, we consider the Neumann problem of a class of mixed complex Hessian equations, and establish the global C^1 estimates a nd reduce the global second derivative estima…
The classical Neumann problem for a class of mixed Hessian equations
Chuan-Qiang Chen, Li Chen, Ni Xiang
In this paper, we establish global C^2 estimates for a class of mixed Hessian equations with Neumann boundary condition, and obtain the existence theorem of k-admissible solutions…
Neumann problem for a class of fully nonlinear equations
Chuan-Qiang Chen, Li Chen, Ni Xiang
In this paper, we establish a priori estimates for a class of fully nonlinear equations with Neumann boundary conditions. By the continuity method, we have obtained the existence t…
Flow by Gauss curvature to Dual Orlicz-Minkowski problems
Li Chen, Qiang Tu, Di Wu +1
In this paper we study a normalised anisotropic Gauss curvature flow of strictly convex, closed hypersurfaces in the Euclidean space R^n+1. We prove that the flow exists for all ti…
A Pogorelov estimate and a Liouville type theorem to parabolic -Hessian equations
Yan He, Haoyang Sheng, Ni Xiang
We consider Pogorelov type estimates and Liouville type theorems to parabolic -Hessian equations of the form in . We derive…
A curvature flow approach to Lp-Christoffel-Minkowski problem for p>1
Li Chen, Qiang Tu, Ni Xiang
We study the motion of smooth, closed, strictly convex hypersurfaces in Rn+1 expanding in the direction of their normal vector field with speed depending on the k-th elementary sym…
A Liouville type theorem to -Hessian equations
Yan He, Haoyang Sheng, Ni Xiang
In this paper, we proved that any 2-convex solution of with a quadratic growth must be a quadratic polynomial in by using a Pogorelov e…
A Rigidity theorem for parabolic 2-Hessian equations
Yan He, Cen Pan, Ni Xiang
In this paper, we consider the entire solutions to the parabolic -Hessian equations of the form in . We prove some rigidity th…
On estimates for fully nonlinear elliptic equations with Neumann boundary conditions on Riemannian Manifolds
Bo Guan, Ni Xiang
We derive gradient and second order {\em a priori} estimates for solutions of the Neumann problem for a general class of fully nonlinear elliptic equations on compact Riemannian ma…
Rigidity of the entire solutions of 2-Hessian equation
Li Chen, Ni Xiang
In this paper, we prove some rigidity theorems for the entire 2-convex solutions of 2-Hessian equation in Euclidean space. As an application, we obtain a Bernstein type theorem for…
Translating surfaces of the non-parametric mean curvature flow in Lorentz manifold
Li Chen, Dan-Dan Hu, Jing Mao +1
In this paper, for the Lorentz manifold , with a -dimensional complete surface with nonnegative Gaussian curvature, we investigate its space-like…
Inverse Gauss curvature flows with free boundaries in a cone
Li Chen, Ni Xiang
We consider strictly convex hypersurfaces with the boundary which meets a strictly convex cone perpendicularly. We prove that if these hypersurfaces expand inside this cone, driven…
Inverse mean curvature flow inside a cone in warped products
Li Chen, Jing Mao, Ni Xiang +1
Given a convex cone in the \emph{prescribed} warped product, we consider hypersurfaces with boundary which are star-shaped with respect to the center of the cone and which meet the…
Monge-Ampère type equations with Neumann boundary conditions on Riemannian manifolds
Xi Guo, Jing Mao, Ni Xiang
In this paper, we consider the global regularity for Monge-Ampère type equations with the Neumann boundary conditions on Riemannian manifolds. It is known that the classical solvab…
Complex Monge-Ampère equations with oblique boundary value
Ni Xiang, Xiaoping Yang
The existence and regularity of the classical plurisubharmonic solution for complex Monge-Ampère equations subject to the semilinear oblique boundary condition which is C^1 perturb…