G. Comi

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20242026

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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 $B V$ solutions under nat…

math.FA2024

Fractional divergence-measure fields, Leibniz rule and Gauss-Green formula

Giovanni E. Comi, Giorgio Stefani

Given $I^\pm \in (0, 1]$ and $p \in [1, + \infty]$ , we define the space $DM^{I^\pm, p} (R^{n})$ of $L^{p}$ vector fields whose $I^\pm$ -divergence is a finite Radon measure, extending t…