Calculus of Variations and Geometric Measure Theory

Isoperimetric Problems Between Analysis and Geometry

The isoperimetric problem with densities

Giovanni Franzina (IAC/CNR)

created by paolini on 02 Jun 2014
modified on 13 Jun 2014

16 jun 2014 -- 14:05   [open in google calendar]

Abstract.

The question whether or not there exist isoperimetric regions with densities can be very trivial or extremely difficult to consider depending on the assumptions on the density functions. We survey some known facts about this topic and we present an existence result obtained in collaboration with Guido De Philippis (Univ. Zrich) and Aldo Pratelli (FAU Erlangen).