22 citations · 65 across the 30 of their papers we have counts for
4 papers · 1 filter
Bifurcation of critical points along gap-continuous families of subspaces
Anna Maria Candela, Nils Waterstraat
We consider the restriction of twice differentiable functionals on a Hilbert space to families of subspaces that vary continuously with respect to the gap metric. We study bifurcat…
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…
Spectral flow, crossing forms and homoclinics of Hamiltonian systems
Nils Waterstraat
We prove a spectral flow formula for one-parameter families of Hamiltonian systems under homoclinic boundary conditions, which relates the spectral flow to the relative Maslov inde…
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…