Speaker
Seongmin Jeon
Abstract
We consider vector-valued almost minimizers for the energy functional
int_{D}|nabla u|^2+2/(1+q)|u|^{1+q}, 0leq 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.