3 citations · 3 across the 6 of their papers we have counts for
11 papers
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…
Improved regularity of second derivatives for subharmonic functions
Xavier Fernández-Real, Riccardo Tione
In this note, we prove that if a subharmonic function has pure second derivatives that are signed measures, then their negative part $(\partial_{ii} u)_…
The four-state problem and convex integration for linear differential operators
Massimo Sorella, Riccardo Tione
We show that the four-state problem for general linear differential operators is flexible. The only flexibility result available in this context is the one for the five-state probl…
Regularity for graphs with bounded anisotropic mean curvature
Antonio De Rosa, Riccardo Tione
We prove that -dimensional Lipschitz graphs with anisotropic mean curvature bounded in , , are regular almost everywhere in every dimension and codimension. This provi…
On the commutativity of flows of rough vector fields
Maria Colombo, Riccardo Tione
In the class of Sobolev vector fields in of bounded divergence, for which the theory of DiPerna and Lions provides a well defined notion of flow, we characterize the…