Inverse iteration for $p$-ground states

DOI10.1090/proc/12860zbMath1335.35070arXiv1502.02837OpenAlexW1887477912MaRDI QIDQ2790927

Erik Lindgren, Ryan Hynd

Publication date: 8 March 2016

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1502.02837

zbMATH Keywords

nonlinear eigenvalue problem\(p\)-Laplacianinverse iterationpower method

Mathematics Subject Classification ID

Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70)

Related Items (8)

Approximation theorem for principle eigenvalue of discrete \(p\)-Laplacian ⋮ Approximation of the second eigenvalue of the \(p\)-Laplace operator in symmetric domains ⋮ The infinity Laplacian eigenvalue problem: reformulation and a numerical scheme ⋮ Inverse iteration for the Monge–Ampère eigenvalue problem ⋮ Continuum limit of Lipschitz learning on graphs ⋮ Solving an abstract nonlinear eigenvalue problem by the inverse iteration method ⋮ Approximation of the least Rayleigh quotient for degree \(p\) homogeneous functionals ⋮ A spectral characterization and an approximation scheme for the Hessian eigenvalue

Cites Work

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• User’s guide to viscosity solutions of second order partial differential equations
• Positive eigenfunctions for the p-Laplace operator revisited
• Sobolev Spaces

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