A Morse-Smale index theorem for indefinite elliptic systems and bifurcation

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)

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
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
Divisions: Faculties > Sciences > School of Mathematics Statistics and Actuarial Science > Pure Mathematics
Depositing User: Nils Waterstraat
Date Deposited: 03 Nov 2015 16:38 UTC
Last Modified: 29 May 2019 16:15 UTC
Resource URI: https://kar.kent.ac.uk/id/eprint/51400 (The current URI for this page, for reference purposes)
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