3 papers
math.FA2026
Beyond : new pairings and Gauss-Green formulas for measure fields with divergence measure
Giovanni Eugenio Comi, Virginia De Cicco, Giovanni Scilla
A new notion of pairing between measure vector fields with divergence measure and scalar functions, which are not required to be weakly differentiable, is introduced. In particular…
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…