论文标题

稳定的,部分免费的$ h $ surfaces在非垂直案例中

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

论文作者

Müller, Frank

论文摘要

对于以部分免费的边界配置跨越规定的平均曲率(不久称为$ h $ - 曲面)的表面证明了一个可预测性结果。因此,允许$ h $ -surface沿其自由痕迹非垂直符合支撑面。主要结果是由于Hildebrandt-Sauvigny和作者本人而概括的定理,并且本着由于Radó和Kneser引起的众所周知的可突出性定理的精神。独特性和存在结果作为推论。

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.

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