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http://hdl.handle.net/10773/15711
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | Aizicovici, Sergiu | pt |
dc.contributor.author | Papageorgiou, Nikolaos S. | pt |
dc.contributor.author | Staicu, Vasile | pt |
dc.date.accessioned | 2016-06-14T11:03:39Z | - |
dc.date.issued | 2016 | - |
dc.identifier.issn | 1230-3429 | pt |
dc.identifier.uri | http://hdl.handle.net/10773/15711 | - |
dc.description.abstract | We consider a parametric semilinear Dirichlet problem driven by the Laplacian plus an indefinite unbounded potential and with a reaction of superdifissive type. Using variational and truncation techniques, we show that there exists a critical parameter value λ_{∗}>0 such that for all λ> λ_{∗} the problem has least two positive solutions, for λ= λ_{∗} the problem has at least one positive solutions, and no positive solutions exist when λ∈(0,λ_{∗}). Also, we show that for λ≥ λ_{∗} the problem has a smallest positive solution. | pt |
dc.language.iso | eng | pt |
dc.publisher | Juliusz Schauder Centre for Nonlinear Studies, Nicolaus Copernicus University | pt |
dc.relation | UID/MAT/04106/2013 | pt |
dc.relation | SFRH/BSAB/113647/2015 | pt |
dc.rights | restrictedAccess | por |
dc.subject | Reaction of superdifussive type | pt |
dc.subject | Maximum principle | pt |
dc.subject | Local minimizer | pt |
dc.subject | Mountain pass theorem | pt |
dc.subject | Bifurcation type theorem | pt |
dc.subject | Indefinite and unbounded potential | pt |
dc.title | Positive solutions for parametric Dirichlet problems with indefinite potential and superdiffusive reaction | pt |
dc.type | article | pt |
dc.peerreviewed | yes | pt |
ua.distribution | international | pt |
degois.publication.title | Topological Methods in Nonlinear Analysis | pt |
dc.date.embargo | 10000-01-01 | - |
dc.identifier.doi | 10.12775/TMNA.2016.014 | pt |
Appears in Collections: | CIDMA - Artigos FAAG - Artigos |
Files in This Item:
File | Description | Size | Format | |
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1344Proofs.pdf | 334.51 kB | Adobe PDF |
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