35 citations · 82 across the 31 of their papers we have counts for
4 papers · 1 filter
Rectifiability of the singular set and uniqueness of tangent cones for semicalibrated currents
Paul Minter, Davide Parise, Anna Skorobogatova +1
We prove that the singular set of an -dimensional integral current in , semicalibrated by a -form is countably -rectifiable.…
Unique continuation for nonlinear variational problems
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
This paper is dedicated to the unique continuation properties of the solutions to nonlinear variational problems. Our analysis covers the case of nonlinear autonomous functionals d…
On the boundary branching set of the one-phase problem
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
We consider minimizers of the one-phase Bernoulli free boundary problem in domains with analytic fixed boundary. In any dimension , we prove that the branching set at the bounda…
On the fine structure of the solutions to nonlinear thin two-membrane problems in 2D
Lorenzo Ferreri, Luca Spolaor, Bozhidar Velichkov
We prove a structure theorem for the solutions of nonlinear thin two-membrane problems in dimension two. Using the theory of quasi-conformal maps, we show that the difference of th…