University of Cagliari
partially_open
Monotonicity of eigenvalues of the fractional p-Laplacian with singular weights
IANNIZZOTTO ANTONIO
2023-01-01
Abstract
We study a nonlinear, nonlocal eigenvalue problem driven by the fractional p-Laplacian with an indefinite, singular weight chosen in an optimal class. We prove the existence of an unbounded sequence of positive variational eigenvalues and alternative characterizations of the first and second eigenvalues. Then, by means of such characterizations, we prove strict decreasing monotonicity of such eigenvalues with respect to the weight function.
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| File | Size | Format | |
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| Iannizzotto TMNA.pdf Solo gestori archivio
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658.78 kB | Adobe PDF | & nbsp; View / Open Request a copy |
| Iannizzotto-Mon (3).pdf Open Access from 27/02/2024
Type: versione post-print
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328.83 kB | Adobe PDF | View/Open |
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