41 citations · 111 across the 24 of their papers we have counts for
7 papers · 1 filter
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…
Regularity for general functionals with double phase
Paolo Baroni, Maria Colombo, Giuseppe Mingione
We prove sharp regularity results for a general class of functionals of the type featuring non-standard growth conditions and non-uniform…
A logarithmic epiperimetric inequality for the obstacle problem
Maria Colombo, Luca Spolaor, Bozhidar Velichkov
For the general obstacle problem, we prove by direct methods an epiperimetric inequality at regular and singular points, thus answering a question of Weiss (Invent. Math., 138 (199…
Optimality of integrability estimates for advection-diffusion equations
Stefano Bianchini, Maria Colombo, Gianluca Crippa +1
We discuss integrability estimates for the solution of the advection-diffusion equation , where the velocity field $b \in L^r_t L^q…