Partial regularity for BV almost (\omega-)minimizers

The notion of almost minimizers was first introduced in the setting of geometric measure theory and then also studied in the non-parametric set-up. Almost (\omega-)minimizers inherit regularity from the corresponding minimizers to some extent, which depends on the behaviour of \omega near the origin. In this talk, I will discuss partial H\”{o}lder regularity for such minimizers in BV, and distinguish two cases where \omega has different characterisations.

(*Zoom Meeting ID: 919 637 6185; Passcode: 314159)