6 citations · 10 across the 12 of their papers we have counts for
4 papers · 2 filters
Fine properties of symmetric and positive matrix fields with bounded divergence
Luigi De Rosa, Riccardo Tione
This paper is concerned with various fine properties of the functional \[ \mathbb{D}(A) = \int_{\mathbb{T}^n}{\text{det}}^\frac{1}{n-1}(A(x))\,dx \] introduced in [33]. This functi…
configurations and hyperbolic systems
Carl Johan Peter Johansson, Riccardo Tione
In this paper we study the rank-one convex hull of a differential inclusion associated to entropy solutions of a hyperbolic system of conservation laws. This was introduced in Sect…
Critical points of degenerate polyconvex energies
Riccardo Tione
We study critical and stationary, i.e. critical with respect to both inner and outer variations, points of polyconvex functionals of the form , for $X \in \mathb…
Non-classical solutions of the -Laplace equation
Maria Colombo, Riccardo Tione
In this paper we answer Iwaniec and Sbordone's conjecture \cite{IB94} concerning very weak solutions to the -Laplace equation. Namely, on one hand we show that distributional so…