Optimization problems for an elastic plate

• DOI: 10.1063/1.2227257
• Publication Date: 2006-08-11T01:29:15Z
• Authors: F. Cuccu; B. Emamizadeh; G. Porru
• Keywords: 0101 mathematics; 01 natural sciences

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.