4 citations · 5 across the 11 of their papers we have counts for
11 papers
The Dirichlet problem for Monge-Ampère type equations on Hermitian manifolds
Weisong Dong
In this paper, we solve the Dirichlet problem for Monge-Ampère type equations for -plurisubharmonic functions on Hermitian manifolds.
The Dirichlet problem for prescribed curvature equations of -convex hypersurfaces
Weisong Dong
In this paper, we study the Dirichlet problem for -convex hypersurfaces with prescribed curvature. We prove that there exists a graphic hypersurface satisfying the prescribed cu…
Curvature estimates for -convex hypersurfaces of prescribed curvature
Weisong Dong
In this paper, we establish the curvature estimates for -convex hypersurfaces in of prescribed curvature with . The existence of a star-sha…
Second order estimates for a class of complex Hessian equations on Hermitian manifolds
Weisong Dong
In this paper, we derive an \emph{a priori} second order estimate for solutions which are in cone to a class of complex Hessian equations with both sides of the equation…
The Neumann problem for a type of fully nonlinear complex equations
WeiSong Dong, Wei Wei
In this paper we study the Neumann problem for a type of fully nonlinear second order elliptic partial differential equations on domains in without any curvature a…
Second order estimates for complex Hessian equations on Hermitian manifolds
Weisong Dong, Chang Li
We derive second order estimates for -plurisubharmonic solutions of complex Hessian equations with right hand sides depending on gradients on compact Hermitian manifolds.
Interior and boundary gradient estimates for Neumann problem of fully nonlinear Hessian equations
Weisong Dong
In this paper we study the {\it a priori} gradient estimates for admissible solutions to Neumann boundary value problem of fully nonlinear Hessian equations on Riemannian manifolds…
The Dirichlet problem for Fully Nonlinear Equations Arising from Conformal Geometry
Weisong Dong
We study the Dirichlet problem for a class of curvature equations arising from conformal geometry on Riemannian manifolds with boundary where . We prove there…
The first initial boundary value problem for Hessian equations of parabolic type on Riemannian manifolds
Weisong Dong, Heming Jiao
In this paper, we are concerned with the first initial boundary value problem for a class of fully nonlinear parabolic equations on Riemannian manifolds. As usual, the establishmen…
Estimates for a class of Hessian type fully nonlinear parabolic equations on Riemannian manifolds
Ge-Jun Bao, Wei-Song Dong
In this paper, we derive a priori estimates for the gradient and second order derivatives of solutions to a class of Hessian type fully nonlinear parabolic equations with the first…
A priori estimates for the obstacle problem of Hessian type equations on Riemannian manifolds
Tingting Wang, WeiSong Dong, Gejun Bao
We are concerned with a priori estimates for the obstacle problem of a wide class of fully nonlinear equations on Riemannian manifolds. We use new techniques introduced by Bo Guan…