Inserted: 10 feb 2009
Last Updated: 18 mar 2010
Journal: Control Cybernet.
For a functional defined on the class of closed one-dimensional connected subsets of the Euclidean space we consider the corresponding minimization problem and we give suitable first order necessary conditions of optimality. The cases studied here are the average distance functional arising in the mass transportation theory, and the energy related to an elliptic PDE.
Keywords: average distance functional, Euler equation, stationary point