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math.AP2026
Lipschitz solvability of prescribed Jacobian and divergence for singular measures
Luigi De Masi, Andrea Marchese
Let be a finite Radon measure on an open set , singular with respect to the Lebesgue measure. We prove Lusin-type solvability results for the prescribed…
math.AP2025
Non-rigidity of the absolutely continuous part of -free measures
Luigi De Masi, Carlo Gasparetto
We generalize a result by Alberti, showing that, if a first-order linear differential operator belongs to a certain class, then any function is the absolutely c…
math.AP2024
A refined Lusin type theorem for gradients
Luigi De Masi, Andrea Marchese
We prove a refined version of the celebrated Lusin type theorem for gradients by Alberti, stating that any Borel vector field coincides with the gradient of a function $g…