L. Spolaor

activity

20172026

most citedDirect epiperimetric inequalities for the thin obstacle problem and applications

35 citations · 48 across the 20 of their papers we have counts for

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7 papers · 1 filter

math.DG2026

Stationary varifolds with singularities II

Camillo De Lellis, Jonas Hirsch, Zachary Lihn +1

For every dimension $m \geq 3$ , we show the existence of an open set $U \subset R^{m + 1}$ , a smooth Riemannian metric $g$ on it, and an integral $m$ -dimensional stationary var…

math.DG2025

Measure $0$ of the singular set for $2$ -valued stationary hypercurrents

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a multiplicity $2$ integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.

math.DG2025

Stationary and stable varifolds with singularities

Camillo De Lellis, Jonas Hirsch, Luca Spolaor

We construct minimal $m$ -dimensional immersions in $R^{m + 1}$ , equipped with a $C^{1, α}$ metric, $α \in [0, 1)$ , with a sequence of \emph{catenoidal necks} or \emph{floating disks}…

math.DG2023

Dimension of the singular set for $2$ -valued stationary Lipschitz graphs

Jonas Hirsch, Luca Spolaor

We prove that the singular set of a $2$ -valued Lipschitz graph that is stationary for the area is of codimension $1$ .

math.DG2019★ 1 cited

Regularity of minimal surfaces near quadratic cones

Nick Edelen, Luca Spolaor

Hardt-Simon proved that every area-minimizing hypercone $C$ having only an isolated singularity fits into a foliation of $R^{n + 1}$ by smooth, area-minimizing hype…

math.DG2019

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…