Main content start
Seminar

PDE analysis on stable minimal hypersurfaces: curvature estimates and sheeting

Speaker
Costante Bellettini (UCL)
Date
Wed, Oct 9 2024, 3:15pm
Location
383N
red knot logo

We consider properly immersed two-sided stable minimal hypersurfaces of dimension n. We illustrate the validity of curvature estimates for n \leq 6 (and associated Bernstein-type properties with an extrinsic area growth assumption). For n \geq 7 we illustrate sheeting results around "flat points". The proof relies on PDE analysis. The results extend respectively the Schoen-Simon-Yau estimates (obtained for n \leq 5) and the Schoen-Simon sheeting theorem (valid for embeddings).