Portaluri, Alessandro, Waterstraat, Nils (2015) A Morse-Smale index theorem for indefinite elliptic systems and bifurcation. Journal of Differential Equations, 258 . pp. 1715-1748. ISSN 0022-0396. (doi:10.1016/j.jde.2014.11.010) (KAR id:51400)
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| Official URL: http://www.dx.doi.org/10.1016/j.jde.2014.11.010 |
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Abstract
We generalise the semi-Riemannian Morse index theorem to elliptic systems of partial differential equations on star-shaped domains. Moreover, we apply our theorem to bifurcation from a branch of trivial solutions of semilinear systems, where the bifurcation parameter is introduced by shrinking the domain to a point. This extends recent results of the authors for scalar equations.
| Item Type: | Article |
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| DOI/Identification number: | 10.1016/j.jde.2014.11.010 |
| Additional information: | Imported from arXiv |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Institutional Unit: | Schools > School of Engineering, Mathematics and Physics > Mathematical Sciences |
| Former Institutional Unit: |
Pure Mathematics Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
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| Depositing User: | Nils Waterstraat |
| Date Deposited: | 03 Nov 2015 16:38 UTC |
| Last Modified: | 20 May 2025 11:37 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/51400 (The current URI for this page, for reference purposes) |
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