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arXiv · 2607.15981

On the buckling eigenvalue of unbounded cylinders

Paolo Acampora·Emanuele Cristoforoni·Carlo Nitsch·Cristina Trombetti
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Abstract

We variationally characterize the bottom of the spectrum of the buckling problem in an infinite cylinder $A\times\mathbb{R}^{n-d}$, where $A$ is an open bounded subset of $\mathbb{R}^d$, and compute it explicitly when $A$ is a ball.

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Paolo Acampora, Emanuele Cristoforoni, Carlo Nitsch, Cristina Trombetti. 2026-07-17. On the buckling eigenvalue of unbounded cylinders. https://arxiv.org/abs/2607.15981

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