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Archivio Istituzionale della Ricerca - Università degli Studi di Perugia
Article . 2012
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Resonant nonlinear Neumann problems with indefinite weight

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2012 Italy English
Authors: MUGNAI, Dimitri; N. S. Papageorgiou;

handle: 11391/170214 , 2067/39501

Resonant nonlinear Neumann problems with indefinite weight

Abstract

We consider nonlinear Neumann problems driven by the p-Laplacian plus an indefinite potential. First we develop the spectral properties of such differential operators. Subsequently, using these spectral properties and variational methods based on critical point theory, truncation techniques and Morse theory, we prove existence and multiplicity theorems for resonant problems

Country
Italy
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Keywords

Indefinite potential; principal eigenfunction; Morse theory; nonlinear regularity; existence and multiplicity theorems; nonlinear maximum principle

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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