On a variational principle for shape optimization and elliptic free boundary problems
محفوظ في:
| المؤلف: | |
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| التنسيق: | artículo original |
| الحالة: | Versión publicada |
| تاريخ النشر: | 1999 |
| الوصف: | 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. |
| البلد: | Portal de Revistas UCR |
| المؤسسة: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| اللغة: | Español |
| OAI Identifier: | oai:archivo.portal.ucr.ac.cr:article/169 |
| الوصول للمادة أونلاين: | https://archivo.revistas.ucr.ac.cr/index.php/matematica/article/view/169 |
| كلمة مفتاحية: | Calculus of variations optimization free boundary problems Cálculo de variaciones optimización problema de frontera libre |