Work

A geometric lower bound for the clamped plate eigenvalue problem in low dimensions and extensions

Year: 2026

Type: preprint

Abstract: We show that the spectrum of the Dirichlet-biLaplacian can be quantitatively bounded from below in terms of the inradius only, for a general open set in dimensions $2$ and $3$. For the same dimensions, we also extend this result to fractional powers $s$ of the Laplacian, with $N/2

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2610.16485

Authors: Bianchi, Francesca, Bozzola, Francesco, Brasco, Lorenzo

Language: English

Topic: Spectral Theory in Mathematical Physics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Istituto Nazionale di Alta Matematica "Francesco Severi", Ministério da Ciência, Tecnologia e Ensino Superior, Università degli Studi di Ferrara, Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni, Fundação para a Ciência e a Tecnologia

Awards: G2971504390, G364684122, G5153289039, Grupo de Física Matemática

OpenAlex ID: W7221833995

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