35 citations · 82 across the 31 of their papers we have counts for
4 papers · 1 filter
Measure of the singular set for -valued stationary hypercurrents
Jonas Hirsch, Luca Spolaor
We prove that the singular set of a multiplicity integral hypercurrent that is stationary in the sense of varifolds has a singular set of measure zero.
Stationary and stable varifolds with singularities
Camillo De Lellis, Jonas Hirsch, Luca Spolaor
We construct minimal -dimensional immersions in , equipped with a metric, , with a sequence of \emph{catenoidal necks} or \emph{floating disks}…
Carleman estimates for stationary -valued maps: a variational approach
Aria Halavati, Luca Spolaor
We prove a Carleman-type estimate for Dirichlet-stationary multivalued functions and apply it to give a different proof of the optimal dimension of the singular set of Dir-minimizi…
Structure of two-dimensional mod area-minimizing currents near flat singularities: the codimension one case
Anna Skorobogatova, Luca Spolaor, Salvatore Stuvard
We obtain a fine structural result for two-dimensional mod area-minimizing currents of codimension one, close to flat singularities. Precisely, we show that, locally around an…