# Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

@inproceedings{Gao2021CurvatureEF, title={Curvature estimates for spacelike graphic hypersurfaces in Lorentz-Minkowski space \$\mathbb\{R\}^\{n+1\}\_\{1\}\$}, author={Ya Gao and Jie Li and Jing Mao and Zhiqi Xie}, year={2021} }

In this paper, we can obtain curvature estimates for spacelike admissible graphic hypersurfaces in the (n + 1)-dimensional Lorentz-Minkowski space R 1 , and through which the existence of spacelike admissible graphic hypersurfaces, with prescribed 2-th Weingarten curvature and Dirichlet boundary data, defined over a strictly convex domain in the hyperbolic plane H (1) ⊂ R 1 of center at origin and radius 1, can be proven.

## 4 Citations

Inverse Gauss curvature flow in a time cone of Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

- Mathematics
- 2021

In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane H (1), of center at origin and radius 1, in the (n + 1)-dimensional…

An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane $\mathbb{R}^{2}_{1}$

- Mathematics
- 2021

In this paper, we consider the evolution of spacelike graphic curves defined over a piece of hyperbola H (1), of center at origin and radius 1, in the 2-dimensional LorentzMinkowski plane R21 along…

Pogorelov type estimates for a class of Hessian quotient equations in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

- Mathematics
- 2022

Let Ω be a bounded domain (with smooth boundary) on the hyperbolic plane H (1), of center at origin and radius 1, in the (n + 1)-dimensional Lorentz-Minkowski space R n+1 1 . In this paper, by using…

The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

- Mathematics
- 2021

In this paper, under suitable settings, we can obtain the existence and uniqueness of solutions to a class of Hessian quotient equations with Dirichlet boundary condition in LorentzMinkowski space R…

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In this paper, we consider the evolution of spacelike graphic hypersurfaces defined over a convex piece of hyperbolic plane H (1), of center at origin and radius 1, in the (n+1)dimensional…

An anisotropic inverse mean curvature flow for spacelike graphic curves in Lorentz-Minkowski plane $\mathbb{R}^{2}_{1}$

- Mathematics
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In this paper, we consider the evolution of spacelike graphic curves defined over a piece of hyperbola H (1), of center at origin and radius 1, in the 2-dimensional LorentzMinkowski plane R21 along…

The Dirichlet problem for a class of Hessian quotient equations in Lorentz-Minkowski space $\mathbb{R}^{n+1}_{1}$

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In this paper, under suitable settings, we can obtain the existence and uniqueness of solutions to a class of Hessian quotient equations with Dirichlet boundary condition in LorentzMinkowski space R…

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