Calculus of Variations and Geometric Measure Theory

Stationary configurations of the average distance functional

Edoardo Mainini (Univ. Genova)

created by depascal on 27 Apr 2009
modified on 28 Apr 2009

29 apr 2009

Abstract.

Ore 16:30 dipartimento di Matematica

We consider the average distance functional, defined on the class of closed one-dimensional connected subsets of

$\mathbf{R}^n$, and we study the corresponding minimization problem. We give first order necessary conditions of

optimality and show examples of stationary configurations.