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arXiv · 2202.05003

The Dirichlet problem for a class of prescribed curvature equations

Heming Jiao·Zaichen Sun
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Abstract

In this paper, we consider the Dirichlet problem for a class of prescribed curvature equations. Both degenerate and non-degenerate cases are considered. The existence of the $C^{1,1}$ regular graphic hypersurfaces with prescribing a class of curvatures and constant boundary is proved for the degenerate case.

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Heming Jiao, Zaichen Sun. 2022-02-10. The Dirichlet problem for a class of prescribed curvature equations. https://arxiv.org/abs/2202.05003

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