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

作者：Portaluri Alessandro; Waterstraat Nils^*

来源：Journal of Differential Equations, 2015, 258(5): 1715-1748.

DOI：10.1016/j.jde.2014.11.010

We generalise the semi-Riemannian Morse index theorem to non-degenerate 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.

• 出版日期2015-3-5