14 citations · 46 across the 25 of their papers we have counts for
4 papers · 2 filters
Square functions, non-tangential limits and harmonic measure in co-dimensions larger than one
Guy David, Max Engelstein, Svitlana Mayboroda
In this paper, we characterize the rectifiability (both uniform and not) of an Ahlfors regular set, E, of arbitrary co-dimension by the behavior of a regularized distance function…
Regularity of the singular set in a two-phase problem for harmonic measure with Hölder data
Matthew Badger, Max Engelstein, Tatiana Toro
In non-variational two-phase free boundary problems for harmonic measure, we examine how the relationship between the interior and exterior harmonic measures of a domain $Ω\subset…
(Log-)epiperimetric inequality and regularity over smooth cones for almost Area-Minimizing currents
Max Engelstein, Luca Spolaor, Bozhidar Velichkov
We prove a new logarithmic epiperimetric inequality for multiplicity-one stationary cones with isolated singularity by flowing in the radial direction any given trace along appropr…
Uniqueness of the blow-up at isolated singularities for the Alt-Caffarelli functional
Max Engelstein, Luca Spolaor, Bozhidar Velichkov
In this paper we prove uniqueness of blow-ups and -regularity for the free-boundary of minimizers of the Alt-Caffarelli functional at points where one blow-up has an is…