Periodic Problems with the Scalar p-Laplacian Resonant at any Eigenvalue via Critical Point Methods
Abstract: We consider nonlinear periodic problems driven by the scalar p-Laplacian with a Carathéodory reaction term. Under conditions which permit resonance at infinity with respect to any eigenvalue, we show that the problem has a nontrivial smooth solution. Our approach combines variational techniques based on critical point theory with Morse theory.
- 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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Periodic Problems with the Scalar p-Laplacian Resonant at any Eigenvalue via Critical Point Methods ; volume:13 ; number:3 ; year:2013 ; pages:751-772 ; extent:22
Advanced nonlinear studies ; 13, Heft 3 (2013), 751-772 (gesamt 22)
- Creator
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Kyritsi, Sophia Th.
O’ Regan, Donal
Papageorgiou, Nikolaos S.
- DOI
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10.1515/ans-2013-0309
- URN
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urn:nbn:de:101:1-2405021712522.522820717529
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:47 AM CEST
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Associated
- Kyritsi, Sophia Th.
- O’ Regan, Donal
- Papageorgiou, Nikolaos S.
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