41 citations · 42 across the 2 of their papers we have counts for
3 papers
Boundary regularity of mass-minimizing integral currents and a question of Almgren
Camillo De Lellis, Guido De Philippis, Jonas Hirsch +1
This short note is the announcement of a forthcoming work in which we prove a first general boundary regularity result for area-minimizing currents in higher codimension, without a…
Rank-one theorem and subgraphs of BV functions in Carnot groups
Sebastiano Don, Annalisa Massaccesi, Davide Vittone
We prove a rank-one theorem à la G. Alberti for the derivatives of vector-valued maps with bounded variation in a class of Carnot groups that includes Heisenberg groups $\mathbb H^…
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…