Non-linear eigenvalue problems for \(p\)-Laplacian with variable domain
type: Item
instance of: scholarly article
title: Non-linear eigenvalue problems for \(p\)-Laplacian with variable domain
zbMATH Open document ID: 1210.47084
author: Y. S. Gasimov
author: A. Nachaoui
author: Aghaddin Aslan Niftiyev
published in: Optimization Letters
publication date: 2010-01-29T00:00:00Z
review text: Using the Rayleigh quotient, the authors prove some results regarding the dependence of the eigenvalues of the negative \(p\)-Laplacian with respect to the domain. An application is given to a shape optimization problem.
Mathematics Subject Classification ID: 47J10
Mathematics Subject Classification ID: 35J05
zbMATH DE Number: 5664373
zbMATH Keywords: eigenvalue problem
zbMATH Keywords: \(p\)-Laplacian
zbMATH Keywords: shape optimization
zbMATH Keywords: domain variation
zbMATH Keywords: support function
reviewed by: Dumitru Motreanu
MaRDI profile type: Publication
full work available at URL: s11590-009-0143-8
OpenAlex ID: W2091715650
cites work: On The Attainable Eigenvalues of the Laplace Operator
cites work: Q4040561
cites work: Q3695674
cites work: Q5411154
cites work: Some shape optimization problems for eigenvalues
cites work: Q4039749
cites work: Q3898037
DOI: 10.1007/S11590-009-0143-8
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description: scientific article; zbMATH DE number 5664373