Please use this identifier to cite or link to this item:
http://hdl.handle.net/10773/15711
Title: | Positive solutions for parametric Dirichlet problems with indefinite potential and superdiffusive reaction |
Author: | Aizicovici, Sergiu Papageorgiou, Nikolaos S. Staicu, Vasile |
Keywords: | Reaction of superdifussive type Maximum principle Local minimizer Mountain pass theorem Bifurcation type theorem Indefinite and unbounded potential |
Issue Date: | 2016 |
Publisher: | Juliusz Schauder Centre for Nonlinear Studies, Nicolaus Copernicus University |
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. |
Peer review: | yes |
URI: | http://hdl.handle.net/10773/15711 |
DOI: | 10.12775/TMNA.2016.014 |
ISSN: | 1230-3429 |
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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