3 papers
math.AP2025
Non-rigidity of the absolutely continuous part of -free measures
Luigi De Masi, Carlo Gasparetto
We generalize a result by Alberti, showing that, if a first-order linear differential operator belongs to a certain class, then any function is the absolutely c…
math.AP2025
Regularity for free boundary surfaces minimizing degenerate area functionals
Carlo Gasparetto, Filippo Paiano, Bozhidar Velichkov
We establish an epsilon-regularity theorem at points in the free boundary of almost-minimizers of the energy $\mathrm{Per}_{w}(E)=\int_{\partial^*E}w\,\mathrm{d} {\mathscr{H}}^{n-1…
math.DG2024
Regularity of minimal surfaces with capillary boundary conditions
Luigi De Masi, Nick Edelen, Carlo Gasparetto +1
We prove -regularity theorems for varifolds with capillary boundary condition in a Riemannian manifold. These varifolds were first introduced by Kagaya-Tonegawa \cite{…