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

Abstract

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.

20 pages

References in corpus (1)

• Optimal $C^{1,\frac{1}{2}}$-regularity of $H$-surfaces with a free boundary