Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations
Abstract: We consider nonlinear Neumann problems driven by p-Laplacian-type operators which are not homogeneous in general. We prove an existence and a multiplicity result for such problems. In the existence theorem, we assume that the right hand side nonlinearity is p-superlinear but need not satisfy the Ambrosetti-Rabinowitz condition. In the multiplicity result, when specialized to the case of the p-Laplacian, we allow strong resonance at infinity and resonance at 0.
- 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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Existence and Multiplicity of Solutions for Neumann p-Laplacian-Type Equations ; volume:8 ; number:4 ; year:2008 ; pages:843-870 ; extent:28
Advanced nonlinear studies ; 8, Heft 4 (2008), 843-870 (gesamt 28)
- DOI
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10.1515/ans-2008-0411
- URN
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urn:nbn:de:101:1-2405021641536.637075226884
- 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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