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math.CA2024
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…
math.CA2019
Weak and approximate curvatures of a measure: a varifold perspective
Blanche Buet, Gian Paolo Leonardi, Simon Masnou
By revisiting the notion of generalized second fundamental form originally introduced by Hutchinson for a special class of integral varifolds, we define a weak curvature tensor tha…