13 citations · 63 across the 19 of their papers we have counts for
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math.OC2014★ 13 cited
Isoperimetric problem in H-type groups and Grushin spaces
Valentina Franceschi, Roberto Monti
We study the isoperimetric problem in H-type groups and Grushin spaces, emphasizing a relation between them. We prove existence, symmetry and regularity properties of isoperimetric…
math.CA2014★ 11 cited
Height estimate and slicing formulas in the Heisenberg group
Roberto Monti, Davide Vittone
We prove a height-estimate (distance from the tangent hyperplane) for -minima of the perimeter in the sub-Riemannian Heisenberg group. The estimate is in terms of a power of the…
math.OC2014
Corners in non-equiregular sub-Riemannian manifolds
Enrico Le Donne, Gian Paolo Leonardi, Roberto Monti +1
We prove that in a class of non-equiregular sub-Riemannian manifolds corners are not length minimizing. This extends the results [4]. As an application of our main result we comple…