9 citations · 19 across the 14 of their papers we have counts for
5 papers · 1 filter
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…
Sharp energy regularity and typicality results for Hölder solutions of incompressible Euler equations
Luigi De Rosa, Riccardo Tione
This paper is devoted to show a couple of typicality results for weak solutions of the Euler equations, in the case . It is known that convex integration schemes…
On the upper semicontinuity of a quasiconcave functional
Luigi De Rosa, Denis Serre, Riccardo Tione
In the recent paper \cite{SER}, the second author proved a divergence-quasiconcavity inequality for the following functional $ \mathbb{D}(A)=\int_{\mathbb{T}^n} det(A(x))^{\frac{1}…
The oriented mailing problem and its convex relaxation
Marcello Carioni, Andrea Marchese, Annalisa Massaccesi +2
In this note we introduce a new model for the mailing problem in branched transportation in order to allow the cost functional to take into account the orientation of the moving pa…
On a question of D. Serre
Luigi De Rosa, Riccardo Tione
In this paper we give a negative answer to the question posed in [15, Open Question 2.1] about possible gains of integrability of determinants of divergence-free, non-negative defi…