35 citations · 82 across the 31 of their papers we have counts for
4 papers · 1 filter
Regularity of the free boundary for the two-phase Bernoulli problem
Guido De Philippis, Luca Spolaor, Bozhidar Velichkov
We prove a regularity theorem for the free boundary of minimizers of the two-phase Bernoulli problem, completing the analysis started by Alt, Caffarelli and Friedman in the 80s. As…
Regularity of minimal surfaces near quadratic cones
Nick Edelen, Luca Spolaor
Hardt-Simon proved that every area-minimizing hypercone having only an isolated singularity fits into a foliation of by smooth, area-minimizing hype…
Almost everywhere uniqueness of blow-up limits for the lower dimensional obstacle problem
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
We answer a question left open in [Arch. Rat. Mech. Anal. 230 (1) (2018), 125-184] and [Arch. Rat. Mech. Anal. 230 (2) (2018), 783-784], by proving that the blow-up limit of minimi…
The Riemannian Quantitative Isoperimetric Inequality
Otis Chodosh, Max Engelstein, Luca Spolaor
We study the Riemannian quantiative isoperimetric inequality. We show that direct analogue of the Euclidean quantitative isoperimetric inequality is--in general--false on a closed…