Projectability of stable, partially free $H$-surfaces in the non-perpendicular case
Differential Geometry
2020-09-17 v1 Analysis of PDEs
Abstract
A projectability result is proved for surfaces of prescribed mean curvature (shortly called -surfaces) spanned in a partially free boundary configuration. Hereby, the -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 Rad\'o and Kneser. A uniqueness and an existence result are included as corollaries.
Keywords
Cite
@article{arxiv.2009.07593,
title = {Projectability of stable, partially free $H$-surfaces in the non-perpendicular case},
author = {Frank Müller},
journal= {arXiv preprint arXiv:2009.07593},
year = {2020}
}
Comments
20 pages