35 citations · 82 across the 31 of their papers we have counts for
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math.AP2022
Interior regularity for two-dimensional stationary -valued maps
Jonas Hirsch, Luca Spolaor
We prove that -dimensional -valued maps that are stationary with respect to outer and inner variations of the Dirichlet energy are Hölder continuous and that the dimension of…
math.AP2022
A strong maximum principle for minimizers of the one-phase Bernoulli problem
Nick Edelen, Luca Spolaor, Bozhidar Velichkov
We prove a strong maximum principle for minimizers of the one-phase Alt-Caffarelli functional. We use this to construct a Hardt-Simon-type foliation associated to any 1-homogenous…
math.AP2022★ 4 cited
Fine structure of the singular set of area minimizing hypersurfaces modulo
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2
Consider an area minimizing current modulo of dimension in a smooth Riemannian manifold of dimension . We prove that its interior singular set is, up to a relatively c…