Almost minimizers for a cooperative system with free boundary

Date: 2022-10-18

Time: 14:00 - 15:00


Seongmin Jeon


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.