Symmetry and rigidity for the hinged composite plate problem

Abstract

The composite plate problem is an eigenvalue optimization problem related to the fourth order operator $(-\Delta {)}^2$. In this paper we continue the study started in [10], focusing on symmetry and rigidity issues in the case of the hinged composite plate problem, a specific situation that allows us to exploit classical techniques like the moving plane method.

arXiv comment19 pages, 2 figures

References in corpus (3)

• Symmetry breaking and other phenomena in the optimization of eigenvalues for composite membranes
• Regularity of the minimizers in the composite membrane problem in R^2
• Where best to place a Dirichlet condition in an anisotropic membrane?

Cited by in corpus (4)

• On the first frequency of reinforced partially hinged plates
• Stability analysis of an overdetermined fourth order boundary value problem via an integral identity
• About symmetry in partially hinged composite plates
• On the stability of a nonlinear non homogeneous multiply hinged beam