On the buckling eigenvalue of unbounded cylinders

Paolo Acampora; Emanuele Cristoforoni; Carlo Nitsch; Cristina Trombetti

On the buckling eigenvalue of unbounded cylinders

Analysis of PDEs 2026-07-17 v1 Spectral Theory

Authors: Paolo Acampora , Emanuele Cristoforoni , Carlo Nitsch , Cristina Trombetti

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.

Keywords

buckling problem eigenvalue infinite cylinder variational characterization spectrum

Cite

@article{arxiv.2607.15981,
  title  = {On the buckling eigenvalue of unbounded cylinders},
  author = {Paolo Acampora and Emanuele Cristoforoni and Carlo Nitsch and Cristina Trombetti},
  journal= {arXiv preprint arXiv:2607.15981},
  year   = {2026}
}