3 citations · 8 across the 12 of their papers we have counts for
12 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…
A class of inverse curvature flows for star-shaped hypersurfaces evolving in a cone
Jing Mao, Qiang Tu
Given a smooth convex cone in the Euclidean -space (), we consider strictly mean convex hypersurfaces with boundary which are star-shaped with respect to the center…
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…
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…
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 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…
The distributional hyper-Jacobian determinants in fractional Sobolev spaces
Qiang Tu, Chuanxi Wu, Xueting Qiu
In this paper we give a positive answer to a question raised by Baer-Jerison in connection with hyper-Jacobian determinants and associated minors in fractional Sobolev spaces. Insp…
Optimal function spaces for the weak continuity of the distributional -Hessian
Qiang Tu, Wenyi Chen
In this paper we introduce the notion of distributional -Hessian associated with Besov type functions in Euclidean -space, . Particularly, inspired by recent wo…
Cartesian currents in fractional Sobolev spaces and applications to functions of bounded higher variation
Qiang Tu, Chuanxi Wu
In this paper we establish weak continuity results for the distribution Jacobian minors in fractional sobolev spaces, which can be seen as a extension of recent work of Brezis and…
Currents carried by the subgradient graphs of semi-convex functions and applications to Hessian measure
Qiang Tu, Wenyi Chen
In this paper we study integer multiplicity rectifiable currents carried by the subgradient (subdifferential) graphs of semi-convex functions on a -dimensional convex domain, an…