Riccardo Tione

most citedOn singular strictly convex solutions to the Monge-Ampère equation

1 citations · 1 across the 2 of their papers we have counts for

collaborators

2 papers

math.AP2024

Regularity and compactness for critical points of degenerate polyconvex energies

André Guerra, Riccardo Tione

We study Lipschitz critical points of the energy $\int_{Ω} g (det D u) d x$ in two dimensions, where $g$ is a strictly convex function. We prove that the Jacobian of any Lipschitz…

math.AP2023★ 1 cited

On singular strictly convex solutions to the Monge-Ampère equation

Guido De Philippis, Riccardo Tione

We show the existence of a strictly convex function $u : B_{1} \to R$ with associated Monge-Ampère measure represented by a function $f$ with $0 < f < 1$ a.e. whose Hessian h…