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Research Article | Open Access

A Faber-Krahn inequality for nonhomogeneous wedge-like membranes

Abdelhalim Hasnaoui( ), Abdelhamid Zaghdani
Mathematics Department, College of Sciences and Arts, Northern Border University, Rafha, Saudi Arabia
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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.

Keywords

Dirichlet eigenvalueswedge-like membranesFaber-Krahn inequalityweighted symmetrizationRayleigh quotient
CLC number: 35P15, 58E30

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AIMS Mathematics
Volume 10 Issue 5,
May 2025
Pages 11988-11997
DOI: 10.3934/math.2025543

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Hasnaoui A, Zaghdani A. A Faber-Krahn inequality for nonhomogeneous wedge-like membranes. AIMS Mathematics, 2025, 10(5): 11988-11997. https://doi.org/10.3934/math.2025543

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Received: 02 November 2024
Revised: 12 April 2025
Accepted: 21 April 2025
Published: 15 May 2025
©2025 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)