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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| Other Authors: | , |
| Format: | article |
| Language: | eng |
| Published: |
1000
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| Subjects: | |
| Online Access: | http://hdl.handle.net/10773/15711 |
| Country: | Portugal |
| Oai: | oai:ria.ua.pt:10773/15711 |
| Summary: | 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. |
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