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# 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.