A Faber-Krahn inequality for nonhomogeneous wedge-like membranes

In this paper, we adapt B. Schwarz and Banks-Krein techniques to obtain a new version of Faber-Krahn inequality for the first Dirichlet eigenvalue of the Laplacian in wedge like membranes with continuous mass density function.

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Publication Details

Journal
AIMS Mathematics
Published
2025-01-01
DOI
https://doi.org/10.3934/math.2025543
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
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article

A Faber-Krahn inequality for nonhomogeneous wedge-like membranes

Abdelhalim Hasnaoui, Abdelhamid Zaghdani
AIMS Mathematics
Advanced Mathematical Modeling in Engineering
article

A Faber-Krahn inequality for nonhomogeneous wedge-like membranes

Abdelhalim Hasnaoui, Abdelhamid Zaghdani
article en

Abstract

In this paper, we adapt B. Schwarz and Banks-Krein techniques to obtain a new version of Faber-Krahn inequality for the first Dirichlet eigenvalue of the Laplacian in wedge like membranes with continuous mass density function.

AIMS MathematicsVol. 10(5)
Northern Border University (SA)
Reduced inequalities
Openalex Percentile: Top 87%
Advanced Mathematical Modeling in Engineering
DOIOpen Access PDFOpenAlex
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A Faber-Krahn inequality for nonhomogeneous wedge-like membranes — Abdelhalim Hasnaoui, Abdelhamid Zaghdani · AIMS Mathematics (2025) | TGRS Research Map | TGRS