77 citations · 216 across the 15 of their papers we have counts for
17 papers
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…
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…
Representation formulas for pairings between divergence-measure fields and functions
Giovanni E. Comi, Graziano Crasta, Virginia De Cicco +1
The purpose of this paper is to find pointwise representation formulas for the density of the pairing between divergence-measure fields and BV functions, in this way continuing the…