Computing the first eigenpair of the \(p\)-Laplacian in annuli

DOI10.1016/j.jmaa.2014.09.016zbMath1394.35204OpenAlexW1989427878MaRDI QIDQ465224

Eder Marinho Martins, Júlio César do Espírito Santo, Grey Ercole

Publication date: 31 October 2014

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2014.09.016

zbMATH Keywords

\(p\)-Laplacianannulusfirst eigenpairinverse iteration method

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Numerical methods for eigenvalue problems for boundary value problems involving PDEs (65N25) Variational methods for second-order elliptic equations (35J20) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (2)

Solving an abstract nonlinear eigenvalue problem by the inverse iteration method ⋮ Computing the best constant in the Sobolev inequality for a ball

Cites Work

• The Cheeger constant of curved strips
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• The second eigenfunction of the \(p\)-Laplacian on the disk is not radial
• Solutions of the Cheeger problem via torsion functions
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• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• Some remarkable sine and cosine functions
• Inequalities for quasiconformal mappings in space
• The \(\infty\)-eigenvalue problem
• Computing eigenvalues and Fučik-spectrum of the radially symmetric \(p\)-Laplacian
• Computing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutions
• On two conjectures in the fixed membrane eigenvalue problem
• Computing the \(\sin_p\) function via the inverse power method
• Asymptotics for the principal eigenvalue of the \(p\)-Laplacian on the ball as \(p\) approaches 1
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• Numerical approximation of the first eigenpair of thep-laplacian using finite elements and the penalty method
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