526 citations · 1.2k across the 69 of their papers we have counts for
6 papers · 2 filters
Rectifiability and upper Minkowski bounds for singularities of harmonic Q-valued maps
Camillo de Lellis, Andrea Marchese, Emanuele Spadaro +1
In this article we prove that the singular set of Dirichlet-minimizing -valued functions is countably -rectifiable and we give upper bounds for the -dimensional Mi…
Min-max theory for minimal hypersurfaces with boundary
Camillo De Lellis, Jusuf Ramic
In this note we propose a min-max theory for embedded hypersurfaces with a fixed boundary and apply it to prove several theorems about the existence of embedded minimal hypersurfac…
High dimensionality and h-principle in PDE
Camillo De Lellis, László Székelyhidi
In this note we would like to present "an analysts' point of view" on the Nash-Kuiper theorem and in particular highlight the very close connection to some aspects of turbulence --…
The masterpieces of John Forbes Nash Jr
Camillo De Lellis
In this note I have tried to rewrite four famous works of Nash in a more modern language while adhering as much as possible to the original arguments.
Transport equation with integral terms
Camillo De Lellis, Piotr Gwiazda, Agnieszka Świerczewska-Gwiazda
We prove some theorems on the existence, uniqueness, stability and compactness properties of solutions to inhomogeneous transport equations with Sobolev coefficients, where the inh…
A direct approach to the anisotropic Plateau problem
Camillo De Lellis, Antonio De Rosa, Francesco Ghiraldin
We prove a compactness principle for the anisotropic formulation of the Plateau problem in codimension one, along the same lines of previous works of the authors [DGM14, DPDRG15].…