activity
20152022
most citedEstimates for a class of Hessian type fully nonlinear parabolic equations on Riemannian manifolds

1 citations · 1 across the 5 of their papers we have counts for

collaborators

8 papers

math.AP2022

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.

math.AP2021

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…

math.AP2021

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…

math.AP2019

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.

math.AP2018

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…

math.AP2018

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…