Eigenvalue problems with unbalanced growth

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Date
2025-07-01
Authors
Chorfi, Nejmeddine
Papageorgiou, Nikolaos S.
Radulescu, Vicentiu
ORCID
0000-0003-4615-5537
Advisor
Referee
Mark
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Volume Title
Publisher
Elsevier
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Abstract
We consider a nonlinear eigenvalue problem driven by the nonautonomous (p, q)-Laplacian with unbalanced growth. Using suitable Rayleigh quotients and variational tools, we show that the problem has a continuous spectrum which is an upper half line and we also show a nonexistence result for a lower half line.
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Keywords
Unbalanced growth, Eigenvalues, Eigenfunctions, Continuous spectrum, Bounded solution
Citation
APPLIED MATHEMATICS LETTERS. 2025, vol. 166, issue 7, p. 1-7.
https://www.sciencedirect.com/science/article/pii/S0893965925000989
Document type
Peer-reviewed
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Published version
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Language of document
en
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Creative Commons Attribution 4.0 International
http://creativecommons.org/licenses/by/4.0/
DOI
10.1016/j.aml.2025.109548
URI
https://hdl.handle.net/11012/255161
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