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) (KAR id:51400)

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Official URL: http://www.dx.doi.org/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:	Divisions > Division of Computing, Engineering and Mathematical Sciences > School of Mathematics, Statistics and Actuarial Science
Depositing User:	Nils Waterstraat
Date Deposited:	03 Nov 2015 16:38 UTC
Last Modified:	05 Nov 2024 10:37 UTC
Resource URI:	https://kar.kent.ac.uk/id/eprint/51400 (The current URI for this page, for reference purposes)

University of Kent Author Information

Waterstraat, Nils.

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