Inserted: 12 mar 2004
Last Updated: 26 jul 2004
Journal: Annali Mat. Pur. Appl.
We study an optimization problem for an elliptic PDE where the unknown is a measure. The state equation is a relaxed form of the classical Dirichlet problem and the functional to minimize is the energy of the system. We prove a regularity result for the optimal measure, give a description of it and present some numerical examples.