L. Spolaor

activity

20152026

most citedDirect epiperimetric inequalities for the thin obstacle problem and applications

35 citations · 82 across the 31 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

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.AP2023★ 3 cited

Excess decay for minimizing hypercurrents mod $2 Q$

Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2

We consider codimension $1$ area-minimizing $m$ -dimensional currents $T$ mod an even integer $p = 2 Q$ in a $C^{2}$ Riemannian submanifold $Σ$ of the Euclidean space. We prove a suitabl…

math.AP2023

The symmetric (log-)epiperimetric inequality and a decay-growth estimate

Nick Edelen, Luca Spolaor, Bozhidar Velichkov

We introduce a symmetric (log-)epiperimetric inequality, generalizing the standard epiperimetric inequality, and we show that it implies a growth-decay for the associated energy: a…

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

Excess decay for minimizing hypercurrents mod 2Q

The symmetric (log-)epiperimetric inequality and a decay-growth estimate

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

Excess decay for minimizing hypercurrents mod $2 Q$