Nonlinear Parametric Robin Problems with Combined Nonlinearities
Abstract: We consider a nonlinear parametric Robin problem driven by the p-Laplacian. We assume that the reaction exhibits a concave term near the origin. First we prove a multiplicity theorem producing three solutions with sign information (positive, negative and nodal) without imposing any growth condition near ±∞ on the reaction. Then, for problems with subcritical reaction, we produce two more solutions of constant sign, for a total of five solutions. For the semilinear problem (that is, for p = 2), we generate a sixth solution but without any sign information. Our approach is variational, coupled with truncation, perturbation and comparison techniques and 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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Nonlinear Parametric Robin Problems with Combined Nonlinearities ; volume:15 ; number:3 ; year:2015 ; pages:715-748 ; extent:34
Advanced nonlinear studies ; 15, Heft 3 (2015), 715-748 (gesamt 34)
- DOI
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10.1515/ans-2015-0309
- URN
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urn:nbn:de:101:1-2405031549406.920564668420
- Rights
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Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
- Last update
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14.08.2025, 10:58 AM CEST
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