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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.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 of the pressureless Euler equation which belong to are shear flows. This is achieved by combinin…