Speaker: 王克磊教授，武汉大学

Inviter: 流体力学方程研究中心

Title: Slow decay vs. fast decay around minimal cones

Language: Chinese

Time & Venue: 2026.05.21 10:30-11:30 南楼N204

Abstract: In the study of the Bernstein problem, Bombieri-De Giorgi-Giusti established the existence of minimal foliations around the Simons cone. Later, Hardt-Simon identified a remarkable condition，the strictly minimizing condition, which determines the decay rate of smooth minimal hypersurfaces in this foliation as they approach the minimal cone, i.e. if it is a slow decay or fast decay. This condition proves highly useful in numerous other problems, such as the construction of entire minimal graphs. In this talk, I will first provide a review of this slow decay vs. fast decay issue, and then discuss similar phenomena in several other problems, including the Allen-Cahn equation and the Alt-Caffarelli one-phase free boundary problem.