10 citations · 37 across the 19 of their papers we have counts for
5 papers · 1 filter
Cantor sets with absolutely continuous harmonic measure
Guy David, Cole Jeznach, Antoine Julia
We construct Ahlfors regular Cantor sets of small dimension in the plane, such that the Hausdorff measure on is equivalent to the harmonic measure associated to its complem…
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…
Regularity for almost-minimizers of variable coefficient Bernoulli-type functionals
Guy David, Max Engelstein, Mariana Smit Vega Garcia +1
In [David-Toro 15] and [David-Engelstein-Toro 19], (some of) the authors studied almost minimizers for functionals of the type first studied by Alt and Caffarelli in [Alt-Caffarell…
Free Boundary Regularity for Almost-Minimizers
Guy David, Max Engelstein, Tatiana Toro
In this paper we study the free boundary regularity for almost-minimizers of the functional \begin{equation*} J(u)=\int_{\mathcal O} |\nabla u(x)|^2 +q^2_+(x)χ_{\{u>0\}}(x) +q^2_-(…
Regularity for almost minimizers with free boundary
Guy David, Tatiana Toro
In this paper we study the local regularity of almost minimizers of the functional \begin{equation*} J(u)=\int_Ω|\nabla u(x)|^2 +q^2_+(x)χ_{\{u>0\}}(x) +q^2_-(x)χ_{\{u<0\}}(x) \end…