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

preprint2020arXivOpen access

Abstract

A projectability result is proved for surfaces of prescribed mean curvature (shortly called HH-surfaces) spanned in a partially free boundary configuration. Hereby, the HH-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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