20 citations · 95 across the 34 of their papers we have counts for
14 papers · 1 filter
Non-convexity of level sets for solutions to -Hessian equations in exterior domains
Wang Bo, Wang Cong, Wang Zhizhang
In this paper, we provide examples to show that for , solutions to -Hessian equations in the exterior of a strictly convex domain need not be qu…
Second boundary value problem for the Hessian curvature flow
Rongli Huang, Changzheng Qu, Zhizhang Wang +1
We investigate the evolution of strictly convex hypersurfaces driven by the -Hessian curvature flow, subject to the second boundary condition. We first explore the translating s…
A Serrin-type over-determined problem for Hessian equations in the exterior domain
Bo Wang, Zhizhang Wang
In this paper, we consider the Hessian equations in some exterior domain with prescribed asymptotic behavior at infinity and Dirichlet-Neumann conditions on its interior boundary.…
Translating solutions and the entire Hessian curvature flow in Minkowski space
Qu Changzheng, Wang Zhizhang, Wo Weifeng
In this paper, we study the -Hessian curvature flow of noncompact spacelike hypersurfaces in Minkowski space. We first prove the existence of translating solutions with given as…
Non-convexity of level sets for -Hessian equations in convex ring
Zhizhang Wang, Ling Xiao
In this paper we construct explicit examples that show the sublevel sets of the solution of a -Hessian equation defined on a convex ring do not have to be convex.
Second order estimates for convex solutions of degenerate -Hessian equations
Heming Jiao, Zhizhang Wang
The estimate of the Dirichlet problem for degenerate -Hessian equations with non-homogenous boundary conditions is an open problem, if the right hand side function …