22 citations · 65 across the 30 of their papers we have counts for
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math.AP2014
A Morse-Smale index theorem for indefinite elliptic systems and bifurcation
Alessandro Portaluri, Nils Waterstraat
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 fr…
math.AP2014
On bifurcation for semilinear elliptic Dirichlet problems on shrinking domains
Nils Waterstraat
We consider the Dirichlet problem for semilinear elliptic equations on a bounded domain which is diffeomorphic to a ball and investigate bifurcation from a given (trivial) branch o…