20 citations · 95 across the 34 of their papers we have counts for
34 papers
Inverse Hessian Curvature Flow in Minkowski Space II: The Dirichlet problem at infinity
Dake Li, Zhizhang Wang, Shiqi Yin
This paper studies self-shrinkers and the long-time behavior of the inverse curvature flow for noncompact entire spacelike strictly convex hypersurfaces in Minkowski space. I…
Inverse Hessian Curvature Flow in Minkowski Space I: Cocompact Hypersurfaces
Dake Li, Zhizhang Wang, Shiqi Yin
In this paper, we investigate the cocompact inverse \(σ_k\) curvature flow in Minkowski space. We prove the longtime existence and convergence of this flow. As a consequence, querm…
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…
Exciting games and Monge-Ampère equations
Julio Backhoff, Zhizhang Wang, Xin Zhang
We consider a competition between players, and aim to identify the "most exciting game'' of this kind. This is translated, mathematically, into a stochastic optimization prob…
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.…