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math.AP2025
Measures in the dual of : perimeter bounds and relations with divergence-measure fields
Giovanni E. Comi, Gian Paolo Leonardi
We analyze some properties of the measures in the dual of the space , by considering (signed) Radon measures satisfying a perimeter bound condition, which means that the absolu…
math.AP2024
The prescribed mean curvature measure equation in non-parametric form
Gian Paolo Leonardi, Giovanni Eugenio Comi
We introduce a weak formulation of the non-parametric prescribed mean curvature equation with measure data and show the existence and several properties of solutions under nat…