Mathematics > Analysis of PDEs
[Submitted on 5 Sep 2024
]
Title: The Dirichlet problem for a class of curvature equations in Minkowski space
Title: 闵可夫斯基空间中一类曲率方程的狄利克雷问题
Abstract: In this paper, we study the Dirichlet problem for a class of prescribed curvature equations in Minkowski space. We prove the existence of smooth spacelike hypersurfaces with a class of prescribed curvature and general boundary data based on establishing the \emph{a priori} $C^2$ estimates.
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