Minimization of the first eigenvalue in problems involving the bi-laplacian
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| Autores: | , , |
|---|---|
| Formáid: | artículo original |
| Stádas: | Versión publicada |
| Fecha de Publicación: | 2009 |
| Cur Síos: | This paper concerns the minimization of the first eigenvalue in problems involving the bi-Laplacian under either homogeneous Navier boundary conditions or homogeneous Dirichlet boundary conditions. Physically, in case of N = 2, our equation models the vibration of a non homogeneous plate Ω which is either hinged or clamped along the boundary. Given several materials (with different densities) of total extension |Ω|, we investigate the location of these materials inside Ω so to minimize the first mode in the vibration of the corresponding plate. |
| País: | Portal de Revistas UCR |
| Institiúid: | Universidad de Costa Rica |
| Repositorio: | Portal de Revistas UCR |
| Teanga: | Español |
| OAI Identifier: | oai:portal.ucr.ac.cr:article/1422 |
| Rochtain Ar Líne: | https://revistas.ucr.ac.cr/index.php/matematica/article/view/1422 |
| Palabra clave: | bi-Laplacian first eigenvalue minimization bi-Laplaciano primer autovalor minimización |