On the logistic equation for the fractional p ‐Laplacian
Abstract: We consider a Dirichlet problem for a nonlinear, nonlocal equation driven by the degenerate fractional p‐Laplacian, with a logistic‐type reaction depending on a positive parameter. In the subdiffusive and equidiffusive cases, we prove existence and uniqueness of the positive solution when the parameter lies in convenient intervals. In the superdiffusive case, we establish a bifurcation result. A new strong comparison result, of independent interest, plays a crucial role in the proof of such bifurcation result.
- Location
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Deutsche Nationalbibliothek Frankfurt am Main
- Extent
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Online-Ressource
- Language
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Englisch
- Bibliographic citation
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On the logistic equation for the fractional p ‐Laplacian ; day:19 ; month:01 ; year:2023 ; extent:18
Mathematische Nachrichten ; (19.01.2023) (gesamt 18)
- Creator
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Iannizzotto, Antonio
Mosconi, Sunra
Papageorgiou, Nikolaos S.
- DOI
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10.1002/mana.202100025
- URN
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urn:nbn:de:101:1-2023012014011110080988
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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15.08.2025, 7:34 AM CEST
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Associated
- Iannizzotto, Antonio
- Mosconi, Sunra
- Papageorgiou, Nikolaos S.
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