This paper concerns minimization and maximization of the first eigenvalue in problems involving the bi-Laplacian under Dirichlet boundary conditions. Physically, in case of N = 2 , our equation models the vibration of a non homogeneous plate Ω which is clamped along the boundary. Given several materials (with different densities) of total extension |Ω| , we investigate the location of these materials throughout Ω so to minimize or maximize the first eigenvalue in the vibration of the clamped plate.
Optimization of the first eigenvalue in problems involving the bi-Laplacian
CUCCU, FABRIZIO;
2009-01-01
Abstract
This paper concerns minimization and maximization of the first eigenvalue in problems involving the bi-Laplacian under Dirichlet boundary conditions. Physically, in case of N = 2 , our equation models the vibration of a non homogeneous plate Ω which is clamped along the boundary. Given several materials (with different densities) of total extension |Ω| , we investigate the location of these materials throughout Ω so to minimize or maximize the first eigenvalue in the vibration of the clamped plate.
File in questo prodotto:
Non ci sono file associati a questo prodotto.
I metadati presenti in IRIS UNICA sono rilasciati con licenza Creative Commons CC0 1.0 Universal, mentre i file delle pubblicazioni sono protetti da diritto d'autore, salvo diversa indicazione.
