4 citations · 14 across the 21 of their papers we have counts for
7 papers · 1 filter
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…