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arXiv 2009.07593math.DGmath.AP
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稳定的部分自由$H$ -曲面在非垂直情况下的可投影性

Projectability of stable, partially free $H$-surfaces in the non-perpendicular case

Frank Müller

摘要:

证明了在部分自由边界构形中具有规定中曲率的曲面(简称$H$ -曲面)的可投影性。由此,允许$H$表面沿着其自由迹线非垂直地与支撑表面相遇。主要结果概括了已知的定理由于希尔德布兰特-索维尼和作者本人,是在精神上的著名的投影定理由于Radó和Kneser。一个唯一性和存在性结果包括作为推论。

英文摘要:

A projectability result is proved for surfaces of prescribed mean curvature (shortly called $H$-surfaces) spanned in a partially free boundary configuration. Hereby, the $H$-surface is allowed to meet the support surface along its free trace non-perpendicularly. The main result generalizes known theorems due to Hildebrandt-Sauvigny and the author himself and is in the spirit of the well known projectability theorems due to Radó and Kneser. A uniqueness and an existence result are included as corollaries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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