By Frank Morgan
Appears in collection : Shape optimization and isoperimetric and functional inequalities / Optimisation de formes et inégalités isopérimétriques et fonctionnelles
In 2015 Chambers proved the Log-convex Density Conjecture, which says that for a radial density f on $R^n$, spheres about the origin are isoperimetric if and only if log f is convex (the stability condition). We discuss recent progress and open questions for other densities, unequal perimeter and volume densities, and other metrics.
By Chao Li
By Changliang Wang
By Albert Schwarz
By Juan Camilo Arosemena Serrato
By Pieter Spaas
By Francesca Arici
By Amine Marrakchi
