Calculus of Variations and Geometric Measure Theory

Nonlocality features of the area functional and the Plateau problem

Riccardo Scala

created by vangoethem on 04 Feb 2021
modified by root on 23 Mar 2021

15 apr 2021 -- 16:00   [open in google calendar]

WADE (Webinar in Analysis and Differential Equations) - Rome time

Password = lisbonwade

Abstract.

We briefly discuss the definition of relaxation of the area functional. We discuss how it is related to classical and non classical versions of the Plateau problem. As a main example, we try to understand what is the relaxed graph of the function $x/\vert x\vert$, a question that surprisingly remained open for decades.