Andrea Marchese

collaborators

2 papers

math.AP2026

Lipschitz solvability of prescribed Jacobian and divergence for singular measures

Luigi De Masi, Andrea Marchese

Let $I^¼$ be a finite Radon measure on an open set $I^c ◯ \subset R^{d}$ , singular with respect to the Lebesgue measure. We prove Lusin-type solvability results for the prescribed…

math.AP2025

Area minimizing hypersurfaces modulo $p$ : a geometric free-boundary problem

Camillo De Lellis, Jonas Hirsch, Andrea Marchese +2

We consider area minimizing $m$ -dimensional currents $mod (p)$ in complete $C^{2}$ Riemannian manifolds $I^£$ of dimension $m + 1$ . For odd moduli we prove that, away from a clo…

Lipschitz solvability of prescribed Jacobian and divergence for singular measures

Area minimizing hypersurfaces modulo p: a geometric free-boundary problem

Area minimizing hypersurfaces modulo $p$ : a geometric free-boundary problem