4 citations · 8 across the 10 of their papers we have counts for
9 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…
Horo-convex hypersurfaces with prescribed shifted Gauss curvatures in
Li Chen, Kang Xiao, Qiang Tu
In this paper, we consider prescribed shifted Gauss curvature equations for horo-convex hypersurfaces in . Under some sufficient condition, we obtain an existence…
Fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature
Li Chen, Yan He
In this paper, we consider fully nonlinear equations of Krylov type on Riemannian manifolds with negative curvature which naturally arise in conformal geometry. Moreover, we prove…
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…
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…