Spectral flow and bifurcation for a class of strongly indefinite elliptic systems

Waterstraat, Nils (2017) Spectral flow and bifurcation for a class of strongly indefinite elliptic systems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, . ISSN 0308-2105. (doi: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
DOI/Identification number: 10.1017/S0308210517000324
Subjects: Q Science > QA Mathematics (inc Computing science) > QA377 Partial differential equations
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science
Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 10 Jun 2016 16:00 UTC
Last Modified: 29 May 2019 17:26 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/55808 (The current URI for this page, for reference purposes)
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