Calculus of Variations and Geometric Measure Theory
home | mail | papers | authors | news | seminars | events | open positions | login

G. Buttazzo - N. Varchon - H. Zoubairi

Optimal measures for elliptic problems

created on 12 Mar 2004
modified on 26 Jul 2004

[BibTeX]

Accepted Paper

Inserted: 12 mar 2004
Last Updated: 26 jul 2004

Journal: Annali Mat. Pur. Appl.
Year: 2004

Abstract:

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.

Keywords: Gamma-convergence, optimization, measure


Download:

Credits | Cookie policy | HTML 5 | CSS 2.1