Optimization problems for an elastic plate

0101 mathematics 01 natural sciences
DOI: 10.1063/1.2227257 Publication Date: 2006-08-11T01:29:15Z
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.
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