You are here: Home :: Area NEM :: Mathematics :: Analysis

Frank Müller

A priori bounds for surfaces with prescribed mean curvature and partially free boundaries

Keywords: mean curvature, a priori estimates, partially free boundaries, length estimates, generalized reflection

Surfaces with prescribed mean curvature in R³ are studied in a partially free boundary configuration. We establish a priori gradient estimates up to the free boundary, where the surface under consideration meets the support surface non-perpendicularly, in general. Methodically, we combine a familiar technique due to E. Heinz with a certain generalized reflection across the free boundary part. In addition, our estimates are based on upper bounds for the length of the free trace and the area growth. Finally, some remarks on other boundary value problems are included.

Analysis, Oldenbourg Wissenschaftsverlag

Print ISSN: 0174-4747
Volume: 26, 04/2006
Pages: 471 - 489

Show full article (external site)

Show all available items of this journal

 

Area NEM