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 either Navier or Dirichlet homogeneous boundary conditions. Physically, in dimension two, our equation models the deformation of an elastic plate which is hinged clamped along boundary, under load. We discuss existence, uniqueness, and properties optimizers.