闵科夫斯基空间一类曲率方程的迪里夏特问题

arXiv - MATH - Differential Geometry Pub Date : 2024-09-05 DOI:arxiv-2409.03308

Mengru Guo, Heming Jiao

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摘要

本文研究了闵科夫斯基空间中一类规定曲率方程的狄利克特问题。在建立 \emph{a priori} $C^2$ 估计的基础上，我们证明了具有一类规定曲率和一般边界数据的光滑类空间超曲面的存在性。

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The Dirichlet problem for a class of curvature equations in Minkowski space

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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arXiv - MATH - Differential Geometry

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