On the uniqueness of eigenfunctions for the vectorial \(p\)-Laplacian

DOI10.1007/s00013-023-01920-8arXiv2306.06447OpenAlexW4387435547MaRDI QIDQ6139365

Ryan Hynd, Bernhard Kawohl, Peter Lindqvist

Publication date: 18 December 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2306.06447

zbMATH Keywords

uniquenesseigenfunctionvectorial \(p\)-Laplacian

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Boundary value problems for second-order elliptic equations (35J25) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Variational methods applied to PDEs (35A15) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Cites Work

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• The second eigenvalue of the fractional \(p\)-Laplacian
• On the Rayleigh quotient and the first eigenvalue for some vector-valued variational problems.
• A direct uniqueness proof for equations involving the \(p\)-Laplace operator
• Fractional eigenvalues
• Fractional p-eigenvalues
• Positive eigenfunctions for the p-Laplace operator revisited
• On harnack type inequalities and their application to quasilinear elliptic equations

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