1 citations · 1 across the 10 of their papers we have counts for
10 papers
Brunn-Minkowski inequality for weighted dual quermassintegrals
Xiaojuan Chen, Shengyu Tang, Sinan Wang
We investigate the Brunn-Minkowski inequality for dual quermassintegrals in weighted measure spaces, which is a special class of rotationally invariant measures proposed by C…
Minkowski problem and Brunn-Minkowski inequality for dual quermassintegrals
Xiaojuan Chen, Shengyu Tang, Sinan Wang
This paper studies the core problems in the dual Brunn-Minkowski theory, encompassing the Minkowski problem and Brunn-Minkowski inequality for dual quermassintegr…
The -dual Christoffel-Minkowski problem for the case
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider a class of Hessian equations associated to the -dual Christoffel-Minkowski problem for the case . By combining the tools of constant rank t…
Second order estimates for -semi convex solutions of Hessian equations on Hermitian manifolds
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we establish the modified concavity inequality for complex Hessian equations under the semi-convexity assumption inspired by Lu \cite{Lu23} and Zhang \cite{Z24} for…
-convex hypersurfaces with prescribed Weingarten curvature in warped product manifolds
Xiaojuan Chen, Qiang Tu, Ni Xiang
In this paper, we consider Weingarten curvature equations for -convex hypersurfaces with in a warped product manifold . Based on the conjecture p…
Dirichlet problem for degenerate Hessian quotient type curvature equations
Xiaojuan Chen, Qiang Tu, Ni Xiang
In the paper, we prove the existence and uniqueness results of the regular graphic hypersurface for Dirichlet problem of a class of degenerate Hessian quotient type curva…
The Dirichlet Problem for mixed Hessian type equations on Riemannian manifolds
Xiaojuan Chen, Juhua Shi, Xiaocui Wu +1
In this paper, we derive estimates for a class of mixed Hessian type equations with Dirichlet boundary condition, and obtain the existence theorem of admissible solutions for…
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 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…