Optimization problems for an elastic plate

F. Cuccu, B. Emamizadeh, G. Porru

Research output: Journal PublicationArticlepeer-review

16 Citations (Scopus)


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 languageEnglish
Article number082901
JournalJournal of Mathematical Physics
Issue number8
Publication statusPublished - 2006
Externally publishedYes

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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