# Seongmin Jeon: Almost minimizers for a cooperative system with free boundary

**Time: **
Tue 2022-10-18 14.00 - 15.00

**Location: **
Institut Mittag-Leffler, Seminar Hall Kuskvillan and Zoom

**Video link: **
Meeting ID: 921 756 1880

**Participating: **
Seongmin Jeon (KTH Royal Institute of Technology)

**Abstract:**

We consider vector-valued almost minimizers for the energy functional \(\int_{D}|\nabla u|^2+2/(1+q)|u|^{1+q}, 0\leq q< 1\). We discuss the regularity of almost minimizers and the "regular" part of the free boundary. The analysis of the free boundary is based on the application of the Weiss-type monotonicity formula and the epiperimetric inequality.

This is joint work with Daniela De Silva and Henrik Shahgholian.