14 citations · 46 across the 25 of their papers we have counts for
3 papers · 2 filters
Graphical solutions to one-phase free boundary problems
Max Engelstein, Xavier Fernández-Real, Hui Yu
We study viscosity solutions to the classical one-phase problem and its thin counterpart. In low dimensions, we show that when the free boundary is the graph of a continuous functi…
Slowly vanishing mean oscillations: non-uniqueness of blow-ups in a two-phase free boundary problem
Matthew Badger, Max Engelstein, Tatiana Toro
In Kenig and Toro's two-phase free boundary problem, one studies how the regularity of the Radon-Nikodym derivative of harmonic measures on complementary NTA domains…
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…