Riccardo Tione

collaborators

4 papers

math.AP2026

Stationary points of conformally invariant polyconvex energies

AndrÃ© 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…

math.AP2025

The double and triple bubble problem for stationary varifolds: the convex case

Antonio De Rosa, Riccardo Tione

We characterize the critical points of the double bubble problem in $R^{n}$ and the triple bubble problem in $R^{3}$ , in the case the bubbles are convex.

math.AP2025

Sharp energy regularity and typicality results for HÃ¶lder solutions of incompressible Euler equations

Luigi De Rosa, Riccardo Tione

This paper is devoted to show a couple of typicality results for weak solutions $v \in C^{I^} ¸$ of the Euler equations, in the case $I^¸ < 1/3$ . It is known that convex integration scheme…