Computing the first eigenvalue of the \(p\)-Laplacian via the inverse power method

From MaRDI portal
Publication:1028342

DOI10.1016/j.jfa.2009.01.023zbMath1172.35047OpenAlexW2055285713MaRDI QIDQ1028342

Grey Ercole, Rodney Josué Biezuner, Eder Marinho Martins

Publication date: 30 June 2009

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2009.01.023




Related Items (25)

Approximation theorem for principle eigenvalue of discrete \(p\)-LaplacianAsymptotics for the principal eigenvalue of the \(p\)-Laplacian on the ball as \(p\) approaches 1Degenerated (p, q)-Laplacian With Weights and Related Equations With ConvectionThe extinction versus the blow-up: global and non-global existence of solutions of source types of degenerate parabolic equations with a singular absorptionConvexity of the generalized sine function and the generalized hyperbolic sine functionComputing the first eigenpair of the \(p\)-Laplacian via inverse iteration of sublinear supersolutionsThe inverse power method for the \(p(x)\)-Laplacian problemConvergence of Inverse Power Method for First Eigenvalue of p-Laplace OperatorEstimates of the principal eigenvalue of the \(p\)-LaplacianInverse iteration for the Monge–Ampère eigenvalue problemEigenvalue inequalities for the \(p\)-Laplacian on a Riemannian manifold and estimates for the heat kernelComputing the first eigenpair of the \(p\)-Laplacian in annuliLower Bounds for the Principal Eigenvalue of the p-Laplacian on the Unit BallApproximation of the first eigenpair of the \(p(x)\)-Laplacian using WEB-spline based mesh-free methodSolving an abstract nonlinear eigenvalue problem by the inverse iteration methodEigenvalues and eigenfunctions of the Laplacian via inverse iteration with shiftApproximation of the least Rayleigh quotient for degree \(p\) homogeneous functionalsOn generalized trigonometric functions with two parametersComputing the best constant in the Sobolev inequality for a ballInverse iteration for $p$-ground statesEfficient algorithm for principal eigenpair of discrete \(p\)-LaplacianA necessary and sufficient condition for the convexity of the one-parameter generalized inverse trigonometric sine function according to power meanA spectral characterization and an approximation scheme for the Hessian eigenvalueConvexity properties of generalized trigonometric and hyperbolic functionsSharp Shafer-Fink type inequalities for Gauss lemniscate functions



Cites Work


This page was built for publication: Computing the first eigenvalue of the \(p\)-Laplacian via the inverse power method