Nicola Fusco - The isoperimetric inequality outside a convex set: the case of equality

This talk was part of the Online Workshop on "Free Boundary Problems and Related Evolution Equations" held at the ESI February 21 to 25, 2022.

Motivation
New exciting trends in the study of free-boundary problems have recently emerged, and renewed interest has been sparked among mathematicians, also in view of promising implications for applications. Special emphasis will be placed on shape optimization, minimal surfaces, phase-field analysis, fracture, delamination, phase transition, mean curvature flow and quasistatic evolutions in elastic media.

Aim
The workshop aims at providing an international platform to present and discuss the state of the art and the most recent developments in the field. Prominent scientists in the areas of calculus of variations, partial differential equations, geometric flows, and continuum mechanics are brought together with interested participants to promote the exchange of ideas and enhance collaborations.