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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.CA2024★ 1 cited
Free-Boundary Monotonicity for Almost-Minimizers of the Relative Perimeter
Gian Paolo Leonardi, Giacomo Vianello
Let be a local almost-minimizer of the relative perimeter in the open set . We prove a free-boundary monotonicity inequality for at a poi…