G. Comi

activity

20182020

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Showing 2018Show all

3 papers · 1 filter

math.FA2018

A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up

Giovanni E. Comi, Giorgio Stefani

We introduce the new space $B V^{α} (R^{n})$ of functions with bounded fractional variation in $R^{n}$ of order $α \in (0, 1)$ via a new distributional approach exploiting…

math.AP2018

Cauchy Fluxes and Gauss-Green Formulas for Divergence-Measure Fields over General Open Sets

Gui-Qiang G. Chen, Giovanni E. Comi, Monica Torres

We establish the interior and exterior Gauss-Green formulas for divergence-measure fields in $L^{p}$ over general open sets, motivated by the rigorous mathematical formulation of the…

math.DG2018

The Gauss-Green theorem in stratified groups

Giovanni E. Comi, Valentino Magnani

We lay the foundations for a theory of divergence-measure fields in noncommutative stratified nilpotent Lie groups. Such vector fields form a new family of function spaces, which g…