Weisong Dong

activity

20152022

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

1 citations · 1 across the 6 of their papers we have counts for

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math.AP2021

Curvature estimates for $p$ -convex hypersurfaces of prescribed curvature

Weisong Dong

In this paper, we establish the curvature estimates for $p$ -convex hypersurfaces in $R^{n + 1}$ of prescribed curvature with $p \geq \frac{n}{2}$ . The existence of a star-sha…

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 $Γ_{k + 1}$ 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 $C^{n}$ without any curvature a…

Curvature estimates for p-convex hypersurfaces of prescribed curvature

Second order estimates for a class of complex Hessian equations on Hermitian manifolds

The Neumann problem for a type of fully nonlinear complex equations

Curvature estimates for $p$ -convex hypersurfaces of prescribed curvature