3 papers
math.AP2023
Two-phase almost minimizers for a fractional free boundary problem
Mark Allen, Mariana Smit Vega Garcia
In this paper, we study almost minimizers to a fractional Alt-Caffarelli-Friedman type functional. Our main results concern the optimal regularity of almost minimizers as…
math.AP2022
Branch Points for (Almost-)Minimizers of Two-Phase Free Boundary Problems
Guy David, Max Engelstein, Mariana Smit Vega Garcia +1
We study the existence and structure of branch points in two-phase free boundary problems. More precisely, we construct a family of minimizers to an Alt- Caffarelli-Friedman type f…
math.AP2015
An epiperimetric inequality approach to the regularity of the free boundary in the Signorini problem with variable coefficients
Nicola Garofalo, Arshak Petrosyan, Mariana Smit Vega Garcia
In this paper we establish the regularity of the regular part of the free boundary in the Signorini problem for elliptic operators with variable Lipschitz coefficients. T…