4 citations · 9 across the 11 of their papers we have counts for
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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…
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…