Stationary configurations for the average distance functional and related problems
Optimization and Control
2014-01-03 v1 Analysis of PDEs
Abstract
For a functional defined on the class of closed one-dimensional connected subsets of 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.
Cite
@article{arxiv.1401.0394,
title = {Stationary configurations for the average distance functional and related problems},
author = {Giuseppe Buttazzo and Edoardo Mainini and Eugene Stepanov},
journal= {arXiv preprint arXiv:1401.0394},
year = {2014}
}
Comments
18 pages, 5 figures, The final publication is available at http://control.ibspan.waw.pl:3000/mainpage