3 citations · 4 across the 6 of their papers we have counts for
7 papers
A minimal regularity for the area formula in the Engel group
Francesca Corni, Fares Essebei, Valentino Magnani
We prove that the upper blow-up theorem in the Engel group holds for submanifolds. Combining this result with the known negligibility of the singular set, we obtain an integr…
Symmetry results for the area formula in homogeneous groups
Francesca Corni, Valentino Magnani
We prove that if the shape of the metric unit ball in a homogeneous group enjoys a precise symmetry property, then the associated distance yields the standard form of the area form…
Area of intrinsic graphs in homogeneous groups
Francesca Corni, Valentino Magnani
We establish an area formula for the spherical measure of intrinsic graphs of any codimension in homogeneous groups. Our approach relies on the assumption that the map defining the…
The fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation
Francesca Corni, Fausto Ferrari
In this paper we construct the fractional powers of the sub-Laplacian in Carnot groups through an analytic continuation approach. In addition, we characterize the powers of the fra…
A reverse coarea-type inequality in Carnot groups
Francesca Corni
We prove a coarea-type inequality for a continuously Pansu differentiable function acting between two Carnot groups endowed with homogeneous distances. We assume that the level set…
Area formula for regular submanifolds of low codimension in Heisenberg groups
Francesca Corni, Valentino Magnani
We establish an area formula for the spherical measure of intrinsically regular submanifolds of low codimension in Heisenberg groups. The spherical measure is computed with respect…
Intrinsic Regular Surfaces of low codimension in Heisenberg groups
Francesca Corni
In this paper we study intrinsic regular submanifolds of , of low co-dimension in relation with the regularity of their intrinsic parametrization. We extend some resu…