Min-max theory for minimal hypersurfaces with boundary
Analysis of PDEs
2017-05-19 v2
Abstract
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply it to prove several theorems about the existence of embedded minimal hypersurfaces with a given boundary. A simpler variant of these theorems holds also for the case of the free boundary minimal surfaces.
Cite
@article{arxiv.1611.00926,
title = {Min-max theory for minimal hypersurfaces with boundary},
author = {Camillo De Lellis and Jusuf Ramic},
journal= {arXiv preprint arXiv:1611.00926},
year = {2017}
}
Comments
58 pages, 4 figures. Second version with errors corrected, following the comments of a referee