Multi angle Isoperimetry with density
Auteurs : Morgan, Frank (Auteur de la Conférence)
CIRM (Editeur )
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Résumé : 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.Codes MSC :
49N60 - Regularity of solutions in calculus of variations
49Q20 - Variational problems in a geometric measure-theoretic setting
53C17 - Sub-riemannian geometry