On the uniqueness of eigenfunctions for the vectorial p-Laplacian

We study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.

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Bibliographic Details
Published inArchiv der Mathematik Vol. 121; no. 5-6; pp. 745 - 755
Main Authors Hynd, Ryan, Kawohl, Bernd, Lindqvist, Peter
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 01.11.2023
Springer Nature B.V
Subjects
Eigenvalues
Eigenvectors
Mathematics
Mathematics and Statistics
Uniqueness
Vectorial
47J30
Primary 35P30
Eigenfunction
Uniqueness
Secondary 35J30
Laplacian
49R50
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Summary:We study a nonlinear eigenvalue problem for vector-valued eigenfunctions and give a succinct uniqueness proof for minimizers of the associated Rayleigh quotient.
ISSN:0003-889X
1420-8938
DOI:10.1007/s00013-023-01920-8