526 citations · 1.2k across the 69 of their papers we have counts for
5 papers · 2 filters
Geometric measure theory and differential inclusions
Camillo De Lellis, Guido De Philippis, Bernd Kirchheim +1
In this paper we consider Lipschitz graphs of functions which are stationary points of strictly polyconvex energies. Such graphs can be thought as integral currents, resp. varifold…
Regularity of area minimizing currents mod
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a first general partial regularity theorem for area minimizing currents , for every , in any dimension and codimension. More precisely, we prove th…
Area minimizing currents mod : linear regularity theory
Camillo De Lellis, Jonas Hirsch, Andrea Marchese +1
We establish a theory of -valued functions minimizing a suitable generalization of the Dirichlet integral. In a second paper the theory will be used to approximate efficiently a…
Dirichlet energy-minimizers with analytic boundary
Camillo De Lellis, Zihui Zhao
In this paper, we consider multi-valued graphs with a prescribed real analytic interface that minimize the Dirichlet energy. Such objects arise as a linearized model of area minimi…
On turbulence and geometry: from Nash to Onsager
camillo De Lellis, László Székelyhidi
This article is a short nontechnical survey of recent progresses in fluid dynamics and differential geometry, relating a conjecture of Lars Onsager to the work of Nash on isometric…