Work

Estimates on the Neumann and Steklov principal eigenvalues of collapsing domains

Year: 2025

Type: article

Abstract: We investigate the relationship between the Neumann and Steklov principal eigenvalues emerging from the study of collapsing convex domains in [Formula: see text]. Such a relationship allows us to give a partial proof of a conjecture concerning estimates of the ratio of the former to the latter: we show that thinning triangles maximize the ratio among convex thinning sets, while thinning rectangles minimize the ratio among convex thinning with some symmetry property.

Source: Communications in Contemporary Mathematics

DOI: 10.1142/s0219199725500270

Authors: P. Acampora, V. Amato, E. Cristoforoni

Institutions: Istituto Nazionale di Alta Matematica Francesco Severi, Scuola Superiore Meridionale

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", Gruppo Nazionale per l'Analisi Matematica, la Probabilità e le loro Applicazioni

OpenAlex ID: W4407149066

FWCI:

Cites: 10

Cited by:

Related to: 10