Positive solutions for parametric Dirichlet problems with indefinite potential and superdiffusive reaction

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_{∗}...

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Bibliographic Details
Main Author: Aizicovici, Sergiu (author)
Other Authors: Papageorgiou, Nikolaos S. (author), Staicu, Vasile (author)
Format: article
Language:eng
Published: 1000
Subjects:
Reaction of superdifussive type
Maximum principle
Local minimizer
Mountain pass theorem
Bifurcation type theorem
Indefinite and unbounded potential
Online Access:http://hdl.handle.net/10773/15711
Country:Portugal
Oai:oai:ria.ua.pt:10773/15711

Internet

http://hdl.handle.net/10773/15711

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