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Minimization of the buckling load of a clamped plate with perimeter constraint (2307.02856v1)
Published 6 Jul 2023 in math.AP and math.OC
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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