Minimal hypersurfaces and geometric inequalities
arXiv:2010.03425
Abstract
In this expository paper, we discuss some of the main geometric inequalities for minimal hypersurfaces. These include the classical monotonicity formula, the Alexander-Osserman conjecture, the isoperimetric inequality for minimal surfaces, and the Michael-Simon Sobolev inequality.
final version, to appear in Annales de la Faculté des Sciences de Toulouse