This paper concerns minimization and maximization of the energy integral 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 equilibrium configuration 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 maximize or minimize the energy integral of the corresponding plate.

Maximization and minimization in problems involving the bi-Laplacian

ANEDDA, CLAUDIA
2011-01-01

Abstract

This paper concerns minimization and maximization of the energy integral 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 equilibrium configuration 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 maximize or minimize the energy integral of the corresponding plate.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/101186
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