# 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.

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