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)
PDF
Author's Accepted Manuscript
Language: English
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
|
|
Click to download this file (418kB)
Preview
|
Preview |
This file may not be suitable for users of assistive technology.
Request an accessible format
|
|
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: | 16 Feb 2021 13:29 UTC |
Resource URI: | https://kar.kent.ac.uk/id/eprint/51400 (The current URI for this page, for reference purposes) |
- Link to SensusAccess
- Export to:
- RefWorks
- EPrints3 XML
- BibTeX
- CSV
- Depositors only (login required):