On -Stable Minimal Hypersurfaces in
Han Hong,
Haizhong Li,
Gaoming Wang
July, 2024
Abstract
In this paper, we extend several results established for stable minimal hypersurfaces to -stable minimal hypersurfaces. These include the regularity and compactness theorems for immersed -stable minimal hypersurfaces in when and , as well as the -stable Bernstein theorem for and for properly immersion. The range of is optimal, as the -dimensional catenoid in is -stable.
Publication
Submitted. 2407.03222, 2024
PostDoc
My research interests include Geometric Analysis and Partial Differential Equations.