Waterstraat, Nils (2018) Spectral flow and bifurcation for a class of strongly indefinite elliptic systems. Proceedings of the Royal Society of Edinburgh. Section A: Mathematics, 148 (5). pp. 1097-1113. ISSN 0308-2105. (doi:10.1017/S0308210517000324) (KAR id:55808)
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| Official URL: https://doi.org/10.1017/S0308210517000324 |
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Abstract
We consider bifurcation of solutions from a given trivial branch for a class of strongly indefinite elliptic systems via the spectral flow. Our main results establish bifurcation invariants that can be obtained from the coefficients of the systems without using explicit solutions of their linearisations at the given branch. Our constructions are based on a comparison principle for the spectral flow and a generalisation of a bifurcation theorem due to Szulkin.
| Item Type: | Article |
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| DOI/Identification number: | 10.1017/S0308210517000324 |
| Subjects: | Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations |
| Divisions: | Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science |
| Depositing User: | Nils Waterstraat |
| Date Deposited: | 10 Jun 2016 16:00 UTC |
| Last Modified: | 09 Dec 2022 09:48 UTC |
| Resource URI: | https://kar.kent.ac.uk/id/eprint/55808 (The current URI for this page, for reference purposes) |
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