On a variational principle for shape optimization and elliptic free boundary problems

A variational principle for several free boundary value problems using a relaxation approach is presented. The relaxed Energy functional is concave and it is defined on a convex set, so that the minimizing points are characteristic functions of sets. As a consequence of the first order optimality co...

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Bibliographic Details
Main Author: Raúl B. González De Paz
Format: Article
Language:Spanish
Published: Universidad de Costa Rica 2009-02-01
Series:Revista de Matemática: Teoría y Aplicaciones
Online Access:https://revistas.ucr.ac.cr/index.php/matematica/article/view/169

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