Published Paper

Inserted: 25 nov 2022
Last Updated: 25 jan 2024

Journal: Applied Mathematics and Optimization
Year: 2024

Abstract:

We look for minimizers of the buckling load problem with perimeter constraint in any dimension. In dimension 2, we show that the minimizing plates are convex; in higher dimension, by passing through a weaker formulation of the problem, we show that any optimal set is open and connected. For higher eigenvalues, we prove that minimizers exist among convex sets with prescribed perimeter.

Keywords: shape optimization, perimeter constraint, buckling eigenvalues, bilaplacian operator

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• M.Carriero,S.Cito,A.Leaci-MINIMIZATION OF THE BUCKLING LOAD OF A CLAMPED PLATE WITH PERIMETER CONSTRAINT.pdf