22 citations · 80 across the 66 of their papers we have counts for
8 papers · 1 filter
Lipschitz approximation of almost -perimeter minimizing boundaries in plentiful groups
Andrea Pinamonti, Giorgio Stefani, Simone Verzellesi
We prove that the boundary of an almost minimizer of the intrinsic perimeter in a plentiful group can be approximated by intrinsic Lipschitz graphs. Plentiful groups are Carnot gro…
Hölder regularity of continuous solutions to balance laws and applications in the Heisenberg group
Laura Caravenna, Elio Marconi, Andrea Pinamonti
We prove Hölder regularity of any continuous solution to a -D scalar balance law , when the source term is bounded and the flux is nonlinear of o…
BV functions and nonlocal functionals in metric measure spaces
Panu Lahti, Andrea Pinamonti, Xiaodan Zhou
We study the asymptotic behavior of three classes of nonlocal functionals in complete metric spaces equipped with a doubling measure and supporting a Poincaré inequality. We show t…
Higher order Whitney extension and Lusin approximation for Horizontal curves in the Heisenberg group
Andrea Pinamonti, Gareth Speight, Scott Zimmerman
In the setting of horizontal curves in the Heisenberg group, we prove a finiteness principle, a Lusin approximation result, a Whitney extension res…
The equality case in the substatic Heintze-Karcher inequality
Stefano Borghini, Mattia Fogagnolo, Andrea Pinamonti
We provide a rigidity statement for the equality case for the Heintze-Karcher inequality in substatic manifolds. We apply such result in the warped product setting to fully remove…
A characterization of horizontally totally geodesic hypersurfaces in Heisenberg groups
Andrea Pinamonti, Simone Verzellesi
In this paper we achieve a first concrete step towards a better understanding of the so-called Bernstein problem in higher dimensional Heisenberg groups. Indeed, in the sub-Riemann…