Optimization problems for an elastic plate

F. Cuccu; B. Emamizadeh; G. Porru

doi:10.1063/1.2227257

Optimization problems for an elastic plate

F. Cuccu, B. Emamizadeh, G. Porru

Research output: Journal Publication › Article › peer-review

16 Citations (Scopus)

Abstract

This paper concerns optimization problems related to bi-harmonic equations subject to either Navier or Dirichlet homogeneous boundary conditions. Physically, in dimension two, our equation models the deformation of an elastic plate which is either hinged or clamped along the boundary, under load. We discuss existence, uniqueness, and properties of the optimizers.

Original language	English
Article number	082901
Journal	Journal of Mathematical Physics
Volume	47
Issue number	8
DOIs	https://doi.org/10.1063/1.2227257
Publication status	Published - 2006
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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10.1063/1.2227257

Cite this

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title = "Optimization problems for an elastic plate",

abstract = "This paper concerns optimization problems related to bi-harmonic equations subject to either Navier or Dirichlet homogeneous boundary conditions. Physically, in dimension two, our equation models the deformation of an elastic plate which is either hinged or clamped along the boundary, under load. We discuss existence, uniqueness, and properties of the optimizers.",

author = "F. Cuccu and B. Emamizadeh and G. Porru",

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AB - This paper concerns optimization problems related to bi-harmonic equations subject to either Navier or Dirichlet homogeneous boundary conditions. Physically, in dimension two, our equation models the deformation of an elastic plate which is either hinged or clamped along the boundary, under load. We discuss existence, uniqueness, and properties of the optimizers.

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Optimization problems for an elastic plate

Abstract

ASJC Scopus subject areas

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