A Morse-Smale index theorem for indefinite elliptic systems and bifurcation
Analysis of PDEs
2015-11-03 v2 Differential Geometry
Dynamical Systems
Symplectic Geometry
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.
Keywords
Cite
@article{arxiv.1408.1419,
title = {A Morse-Smale index theorem for indefinite elliptic systems and bifurcation},
author = {Alessandro Portaluri and Nils Waterstraat},
journal= {arXiv preprint arXiv:1408.1419},
year = {2015}
}
Comments
31 pages; v2: final version, minor changes