41 citations · 85 across the 12 of their papers we have counts for
15 papers
On the logarithmic epiperimetric inequality for the obstacle problem
Luca Spolaor, Bozhidar Velichkov
We give three different proofs of the log-epiperimetric inequality at singular points for the obstacle problem. In the first, direct proof, we write the competitor explicitly; the…
Stability of optimal traffic plans in the irrigation problem
Maria Colombo, Antonio de Rosa, Andrea Marchese +2
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian cou…
Stability for the mailing problem
Maria Colombo, Antonio De Rosa, Andrea Marchese
We prove that optimal traffic plans for the mailing problem in are stable with respect to variations of the given coupling, above the critical exponent , th…
The generalized Caffarelli-Kohn-Nirenberg Theorem for the hyperdissipative Navier-Stokes system
Maria Colombo, Camillo De Lellis, Annalisa Massaccesi
We introduce a notion of suitable weak solution of the hyperdissipative Navier-Stokes equations and we achieve a corresponding extension of the regularity theory of Caffarelli-Kohn…
The singular set of minimal surfaces near polyhedral cones
Maria Colombo, Nick Edelen, Luca Spolaor
We adapt the method of Simon [JDG '93] to prove a -regularity theorem for minimal varifolds which resemble a cone over an equiangular geodesic net. For varifo…
Direct epiperimetric inequalities for the thin obstacle problem and applications
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the thin obstacle problem, we prove by a new direct method that in any dimension the Weiss' energies with frequency and , for , satisfy an epiperi…