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arXiv · 2010.03479

Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space

Zhenan Sui·Wei Sun
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Abstract

We prove the existence of a complete locally Lipschitz continuous hypersurface in weak sense with prescribed Weingarten curvature and asymptotic boundary at infinity in hyperbolic space under certain assumptions.

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Zhenan Sui, Wei Sun. 2020-10-07. Lipschitz Continuous Hypersurfaces with Prescribed Curvature and Asymptotic Boundary in Hyperbolic Space. https://arxiv.org/abs/2010.03479

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