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Contribution Details
| Type | Journal Article |
| Scope | Discipline-based scholarship |
| Title | Elliptic Eigenvalue Problems and Unbounded Continua of Positive Solutions of a Semilinear Elliptic Equation |
| Organization Unit | |
| Authors |
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| Item Subtype | Original Work |
| Refereed | Yes |
| Status | Published in final form |
| Language |
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| Journal Title | Journal of Differential Equations |
| Publisher | Elsevier |
| Geographical Reach | international |
| ISSN | 0022-0396 |
| Volume | 127 |
| Number | 1 |
| Page Range | 295 - 319 |
| Date | 1996 |
| Abstract Text | We derive a result on the limit of certain sequences of principal eigenvalues associated with some elliptic eigenvalue problems. This result is then used to give a complete description of the global structure of the curves of positive steady states of a parameter dependent diffusive version of the classical logistic equation. In particular, we characterize the bifurcation values from infinity to positive steady states. The stability of the positive steady states as well as the asymptotic behaviour of positive solutions is also discussed. |
| Free access at | DOI |
| Official URL | https://www.sciencedirect.com/science/article/pii/S0022039696900716 |
| Digital Object Identifier | 10.1006/jdeq.1996.0071 |
| Other Identification Number | merlin-id:20807 |
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