Special Session 43: 

Regularity of almost minimizers with free boundary

Mariana Smit Vega Garcia
Western Washington University
USA
Co-Author(s):    Guy David, Max Engelstein, Tatiana Toro
Abstract:
We study almost minimizer for functionals which yield a free boundary, as in the work of Alt-Caffarelli and Alt-Caffarelli-Friedman. The almost minimizing property can be understood as the defining characteristic of a minimizer in a problem which explicitly takes noise into account. In this talk, we discuss the regularity of almost minimizers to energy functionals with variable coefficients.