Calculus of Variations and Geometric Measure Theory

V. Julin - M. Morini - F. Oronzio - E. Spadaro

A sharp quantitative Alexandrov inequality and applications to volume preserving geometric flows in 3D

created by oronzio on 26 Jun 2024



Inserted: 26 jun 2024
Last Updated: 26 jun 2024

Year: 2024


We study the asymptotic behavior of the volume preserving mean curvature and the Mullins-Sekerka flat flow in three dimensional space. Motivated by this we establish a 3D sharp quantitative version of the Alexandrov inequality for $C^2$-regular sets with a perimeter bound.