论文标题

Lipschitz连续的高空曲面具有规定的曲率和双曲线空间中的渐近边界

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

论文作者

Sui, Zhenan, Sun, Wei

论文摘要

我们证明,在某些假设下,在双曲线空间中,无限大度的魏因丁曲率和渐近边界的规定,在弱的意义上存在完整的局部Lipschitz连续性高表面。

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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