Riccardo Tione

activity

20172026

most citedA multi-material transport problem with arbitrary marginals

9 citations · 19 across the 14 of their papers we have counts for

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4 papers · 1 filter

math.AP2026

Regularity for the prescribed vertical mean curvature system in the plane

Jonas Hirsch, Connor Mooney, Riccardo Tione

We prove everywhere regularity for Lipschitz solutions to the prescribed vertical mean curvature system in the plane, where the codimension is arbitrary and the mean curvature is i…

math.CV2026

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform

Andrea Agazzi, Kari Astala, Giuseppe Bruno +18

We confirm a conjecture posed by T. Iwaniec in 1982: the $L^{p}$ norm of the Beurling--Ahlfors transform is $p - 1$ if $p \geq 2$ , and $(p - 1)^{- 1}$ if $1 < p \leq 2$ .

math.AP2026

Stationary points of conformally invariant polyconvex energies

André Guerra, Riccardo Tione

We consider polyconvex integrands that are conformally invariant and frame indifferent. In two dimensions, we prove that the corresponding stationary points are smooth outside a di…

math.AP2026

Rigidity of shear flows of the Euler equations in the plane

Riccardo Tione

In this paper we show that steady states $u$ of the pressureless Euler equation which belong to $L_{l oc}^{3} (R^{2}, R^{2})$ are shear flows. This is achieved by combinin…

Regularity for the prescribed vertical mean curvature system in the plane

Sharp Higher Integrability Theory, Part I: The Lp-norm of the Beurling--Ahlfors transform

Stationary points of conformally invariant polyconvex energies

Rigidity of shear flows of the Euler equations in the plane

Sharp Higher Integrability Theory, Part I: The $L^{p}$ -norm of the Beurling--Ahlfors transform