14 citations · 46 across the 25 of their papers we have counts for
Showing 2021Show all
2 papers · 1 filter
math.AP2021
Rectifiability and almost everywhere uniqueness of the blow-up for the vectorial Bernoulli free boundaries
Guido De Philippis, Max Engelstein, Luca Spolaor +1
We prove that for minimizers of the vectorial Alt-Caffarelli functional the two-phase singular set of the free boundary is rectifiable and the blow-up is unique almost everywhere o…
math.AP2021
Łojasiewicz Inequalities and Generic Smoothness of Nodal Sets of Solutions to Elliptic PDE
Matthew Badger, Max Engelstein, Tatiana Toro
In this article, we prove that for a broad class of second order elliptic PDEs, including the Laplacian, the zero sets of solutions to the Dirichlet problem are smooth for "generic…