3 papers
math.MG2026
Pyramids and Extended Metric Measure Spaces
Nicola Gigli, Kohei Suzuki, Simone Vincini
A pyramid is a generalisation of metric measure spaces (mm-spaces) introduced by M.~Gromov (Birkhäuser 1999) to establish a geometric framework for measure-concentration problems.…
math.MG2024
Stability of the heat flow under convergence in concentration and consequences
Nicola Gigli, Simone Vincini
We extend to the framework of convergence in concentration virtually all the results concerning stability of Sobolev functions and differential operators known to be in place under…
math.AP2024
Elastic bodies with kinematic constraints on many small regions
Andrea Braides, Giovanni Noselli, Simone Vincini
We study the equilibrium of hyperelastic solids subjected to kinematic constraints on many small regions, which we call perforations. Such constraints on the displacement are g…