24 citations · 168 across the 32 of their papers we have counts for
Showing 2025Show all
3 papers · 1 filter
math.DG2025
Approximate mean curvature flows of a general varifold, and their limit spacetime Brakke flow
Blanche Buet, Gian Paolo Leonardi, Simon Masnou +1
We propose a construction of mean curvature flows by approximation for very general initial data, in the spirit of the works of Brakke and of Kim & Tonegawa based on the theory of…
math.FA2025
The Quantitative Faber-Krahn Inequality for the Combinatorial Laplacian in
Marco Cicalese, Leonard Kreutz, Gian Paolo Leonardi +1
While the classical Faber-Krahn inequality shows that the ball uniquely minimizes the first Dirichlet eigenvalue of the Laplacian in the continuum, this rigidity may fail in the di…
math.AP2025
Stability of axial free-boundary hyperplanes in circular cones
Gian Paolo Leonardi, Giacomo Vianello
Given an axially-symmetric, -dimensional convex cone , we study the stability of the free-boundary minimal surface obtained by intersecting $Ω…