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arXiv · 2409.03308

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

Mengru Guo·Heming Jiao
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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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Mengru Guo, Heming Jiao. 2024-09-05. The Dirichlet problem for a class of curvature equations in Minkowski space. https://arxiv.org/abs/2409.03308

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