On a variational principle for shape optimization and elliptic free boundary problems
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| Author: | |
|---|---|
| Format: | artículo original |
| Status: | Versión publicada |
| Publication Date: | 1999 |
| Description: | 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 conditions, it is shown that the corresponding sets are domains bounded by free boundaries, so that the equivalence of the solution of the relaxed problem with the solution of several free boundary value problem is proved. |
| Country: | Portal de Revistas UCR |
| Institution: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Language: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/169 |
| Online Access: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/169 |
| Keyword: | Calculus of variations optimization free boundary problems Cálculo de variaciones optimización problema de frontera libre |