5 papers
The Neumann problem of Hessian quotient equations
Chuanqiang Chen, Dekai Zhang
In this paper, we obtain some important inequalities of Hessian quotient operators, and global estimates of the Neumann problem of Hessian quotient equations. By the method o…
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…
A Minimal Value Problem and the Prescribed Curvature Measure Problem
Chuanqiang Chen
In this paper, we consider a minimal value problem and obtain an algebraic inequality. As an application, we prove the a priori estimate for a class of prescribed curva…