45 citations · 133 across the 45 of their papers we have counts for
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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…
On bifurcation for semilinear elliptic Dirichlet problems on geodesic balls
Alessandro Portaluri, Nils Waterstraat
We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on a geodesic ball, whose radius is used as the bifurcation paramet…
On bifurcation for semilinear elliptic Dirichlet problems and the Morse-Smale index theorem
Alessandro Portaluri, Nils Waterstraat
We study bifurcation from a branch of trivial solutions of semilinear elliptic Dirichlet boundary value problems on star-shaped domains, where the bifurcation parameter is introduc…
Morse theory for a fourth order elliptic equation with exponential nonlinearity
Laura Abatangelo, Alessandro Portaluri
In this paper we compute the Leray Schauder degree for a fourth order elliptic boundary value problem with exponential nonlinearity and Navier boundary condition. This will be made…