4 papers · 1 filter
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…
On sets with finite distributional fractional perimeter
Giovanni E. Comi, Giorgio Stefani
We continue the study of the fine properties of sets having locally finite distributional fractional perimeter. We refine the characterization of their blow-ups and prove a Leibniz…
Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula
Giovanni E. Comi, Giorgio Stefani
Given and , we define the space of vector fields whose -divergence is a finite Radon measure, extending the…
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…