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arXiv · 2307.02856

Minimization of the buckling load of a clamped plate with perimeter constraint

Michele Carriero·Simone Cito·Antonio Leaci
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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.

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Michele Carriero, Simone Cito, Antonio Leaci. 2023-07-06. Minimization of the buckling load of a clamped plate with perimeter constraint. https://arxiv.org/abs/2307.02856

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