13 citations · 63 across the 19 of their papers we have counts for
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math.CA2025
Plateau's Problem for intrinsic graphs in the Heisenberg Group
Roberto Monti, Giacomo Vianello
Using a geometric construction, we solve Plateau's Problem in the Heisenberg group for intrinsic graphs defined on a convex domain , under a smallness condition…
math.CA2018★ 1 cited
A Trace theorem for Martinet--type vector fields
Daniele Gerosa, Roberto Monti, Daniele Morbidelli
In we consider the vector fields \[ X_1 =\frac{ \partial }{\partial x},\qquad X_2 =\frac{ \partial }{\partial y}+ |x|^α\frac{ \partial }{\partial z}, \] where $α\in\…
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…